{"id":57075,"date":"2025-03-07T16:46:01","date_gmt":"2025-03-07T11:16:01","guid":{"rendered":"https:\/\/yanamtakshashila.com\/?p=57075"},"modified":"2026-02-24T21:46:37","modified_gmt":"2026-02-24T16:16:37","slug":"radius-of-reserve-curve-using-geogebra-classic-5","status":"publish","type":"post","link":"https:\/\/yanamtakshashila.com\/?p=57075","title":{"rendered":"RADIUS OF REVERSE CURVE USING GEOGEBRA CLASSIC &#8211; 5"},"content":{"rendered":"\n<h5 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-89bfda0d449bddcb20c4924e685a3000\">Aim:<\/h5>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\text{Two parallel straights of V = 20m apart are to connected by a reverse curve}\\ \\hspace{15cm}\\\\ \\text{consisting of arcs of same radius.  The distance between the}\\ \\hspace{12cm}\\\\ \\text{end points of the curve is L=200m}\\ \\hspace{10cm}\\]<script src=\"https:\/\/yanamtakshashila.com\/wp-includes\/js\/dist\/hooks.min.js?ver=dd5603f07f9220ed27f1\" id=\"wp-hooks-js\"><\/script>\n<script src=\"https:\/\/yanamtakshashila.com\/wp-includes\/js\/dist\/i18n.min.js?ver=c26c3dc7bed366793375\" id=\"wp-i18n-js\"><\/script>\n<script id=\"wp-i18n-js-after\">\nwp.i18n.setLocaleData( { 'text direction\\u0004ltr': [ 'ltr' ] } );\n\/\/# sourceURL=wp-i18n-js-after\n<\/script>\n<script  async src=\"https:\/\/cdnjs.cloudflare.com\/ajax\/libs\/mathjax\/2.7.7\/MathJax.js?config=TeX-MML-AM_CHTML\" id=\"mathjax-js\"><\/script>\n<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[i.\\ \\text{To draw two parallel straights of 20m apart.}\\ \\hspace{15cm}\\]<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[ii.\\ \\text{To draw the reverse curve joining to points on the parallel straights which}.\\ \\hspace{15cm}\\\\ \\text{are 200m distance from one another.}\\ \\hspace{10cm}\\]<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[iii.\\ \\text{To find the approximate value of the common radius of the reverse curve}\\ \\hspace{15cm}\\]<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[iv.\\ \\text{Find the length of the whole reverse curve.}\\ \\hspace{15cm}\\]<\/div>\n\n\n\n<h5 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-caaadd60b535c837691a2eb0c3ab170e\">Procedure:<\/h5>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\color{green}{Step\\ 1:}\\ \\text{Open Geogebra classic 5 (by double clicking on the icon)}\\ \\hspace{18cm}\\]<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\color{green}{Step\\ 2:}\\ \\text{To draw the straight line by using input bar to type}\\ l_1\\ :y=0\\ \\hspace{10cm}\\]<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\color{green}{Step\\ 3:}\\ \\text{To draw a another straight line by using input bar to type}\\ l_2\\ :y=20\\ \\hspace{10cm}\\]<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\color{green}{Step\\ 4:}\\ \\text{To mark a point on}\\ l_2,\\ \\hspace{20cm}\\\\ \\text{by using the input bar type A = point(object) \u2192 point(l_2)   and press the Enter key}\\ \\hspace{14cm}\\]<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\color{green}{Step\\ 5:}\\ \\text{To mark a point on}\\ l_1,\\ \\hspace{20cm}\\\\ \\text{by using the input bar type B = point(object) \u2192 point(l_1) and press the Enter key}\\ \\hspace{14cm}\\]<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\color{green}{Step\\ 6:}\\ \\text{To join the points A and B}\\ \\hspace{21cm}\\\\ \\text{by using the input bar type L=Segment(A, B) and press the Enter key}\\ \\hspace{14cm}\\]<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\color{green}{Step\\ 7:}\\ \\text{To fix the point A, move the point B using the move tool}\\ \\hspace{18cm}\\\\ \\text{and fix a position for B so that L = 200m}\\ \\hspace{14cm}\\]<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\color{green}{Step\\ 8:}\\ \\text{To mark the midpoint C of the line segment L = AB}\\ \\hspace{18cm}\\\\ \\text{by using the input command C = Midpoint(L)}\\ \\hspace{14cm}\\]<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\color{green}{Step\\ 9:}\\ \\text{To draw the perpendicular bisector line of the line segment AC,}\\ \\hspace{18cm}\\\\ \\text{by using the input command b1:PerpendicularBisector(A,C)}\\ \\hspace{14cm}\\]<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\color{green}{Step\\ 10:}\\ \\text{To mark the point F on b1}\\ \\hspace{20cm}\\\\ \\text{by using the input bar to type F=Point(b1) and press the Enter key}\\ \\hspace{14cm}\\]<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\"><\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\color{green}{Step\\ 11:}\\ \\text{To draw the line segments AF}\\ \\hspace{21cm}\\\\ \\text{by using the input commands  AF=Segment(A, F) and press the Enter key}\\ \\hspace{14cm}\\]<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\color{green}{Step\\ 12:}\\ \\text{To draw the line segments CF}\\ \\hspace{21cm}\\\\ \\text{by using the input commands  CF=Segment(C, F) and press the Enter key}\\ \\hspace{14cm}\\]<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\color{green}{Step\\ 13:}\\ \\text{To draw the circular curve}\\ \\hspace{21cm}\\\\ \\text{by using the input bar to type   C1=Circular Arc(F,C,A)}\\ \\hspace{14cm}\\]<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\color{green}{Note:}\\ \\text{click and drag or move the point F on b1 so that the circular}\\ \\hspace{18cm}\\\\ \\text{curve is below the line}\\ l_2\\ and\\ l_2\\ \\text{is a tangent of that curve at A}\\ \\hspace{14cm}\\]<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\color{green}{Step\\ 14:}\\ \\text{To draw the perpendicular bisector line of the line segment BC,}\\ \\hspace{18cm}\\\\ \\text{by using the input command b2:PerpendicularBisector(B,C)}\\ \\hspace{14cm}\\]<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\color{green}{Step\\ 15:}\\ \\text{To mark the point G on b2}\\ \\hspace{20cm}\\\\ \\text{by using the input bar to type G=Point(b2) and press the Enter key}\\ \\hspace{14cm}\\]<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\color{green}{Step\\ 16:}\\ \\text{To draw the line segment BG}\\ \\hspace{21cm}\\\\ \\text{by using the input bar   to type BG=Segment(B, G) and press the Enter key}\\ \\hspace{14cm}\\]<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\color{green}{Step\\ 17:}\\ \\text{To draw the line segment CG}\\ \\hspace{21cm}\\\\ \\text{by using the input bar to type CG=Segment(C, G) and press the Enter key}\\ \\hspace{14cm}\\]<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\color{green}{Step\\ 18:}\\ \\text{To draw the circular curve}\\ \\hspace{21cm}\\\\ \\text{by using the input bar to type   C2=Circular Arc(G,C,B)}\\ \\hspace{14cm}\\]<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\color{green}{Note:}\\ \\text{click and drag or move the point G on b2 so that the circular}\\ \\hspace{18cm}\\\\ \\text{curve is below the line}\\ l_1\\ and\\ l_1\\ \\text{is a tangent of that curve at B}\\ \\hspace{14cm}\\]<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\color{green}{Step\\ 19:}\\ \\text{To draw the circular c1}\\ \\hspace{21cm}\\\\ \\text{by using the input bar to type   C1=Circle (F,AF)}\\ \\hspace{14cm}\\]<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\color{green}{Step\\ 20:}\\ \\text{To draw the circular c2}\\ \\hspace{21cm}\\\\ \\text{by using the input bar to type   C2=Circle (G,BG)}\\ \\hspace{14cm}\\]<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\color{green}{Step\\ 21:}\\ \\text{To verify that the circular curves C1 and C2 are parts of the circles}\\ \\hspace{16cm}\\\\ \\text{c1 and c2 respectively}\\ \\hspace{18cm}\\]<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\color{green}{Step\\ 22:}\\ \\text{To find the length of the reverse curve from A to B}\\ \\hspace{16cm}\\\\ \\text{by using the input command I =C1+C2}\\ \\hspace{18cm}\\]<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\color{green}{Step\\ 23:}\\ \\text{The radius of the reverse curves is R=AF which is equal to CF,}\\ \\hspace{16cm}\\\\ \\text{BG, and CG which are found in the algebra view.}\\ \\hspace{18cm}\\]<\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\"><\/div>\n\n\n\n<div class=\"wp-block-mathml-mathmlblock\">\\[\\color{green}{Step\\ 24:}\\ \\text{To create an input box for V, the distance between the}\\ \\hspace{16cm}\\\\ \\text{parallel straights link with}\\ I_2\\ :\\ y\\ =\\ 20\\ \\hspace{18cm}\\]<\/div>\n\n\n\n<script async src=\"https:\/\/pagead2.googlesyndication.com\/pagead\/js\/adsbygoogle.js?client=ca-pub-9453835310745500\"\n     crossorigin=\"anonymous\"><\/script>\n<!-- 350 x 250 ad -->\n<ins class=\"adsbygoogle\"\n     style=\"display:block\"\n     data-ad-client=\"ca-pub-9453835310745500\"\n     data-ad-slot=\"3583972194\"\n     data-ad-format=\"auto\"\n     data-full-width-responsive=\"true\"><\/ins>\n<script>\n     (adsbygoogle = window.adsbygoogle || []).push({});\n<\/script>\n\n\n\n<h5 class=\"wp-block-heading has-vivid-purple-color has-text-color has-link-color wp-elements-883bedab9864fd79dff46cd9aa765019\">Output:<\/h5>\n\n\n\n<p class=\"has-text-align-center has-vivid-red-color has-text-color has-link-color wp-elements-83c74a5185059b7a03e57708b802deae\">Output for radius of curvature and length of the curve.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td>Description<\/td><td>Formula \/ Value<\/td><\/tr><tr><td>Distance between parallels (V)<\/td><td>V = 20<\/td><\/tr><tr><td>Distance between endpoint of the Inverse Curve (L)<\/td><td>L = 200<\/td><\/tr><tr><td>Equation of the Circle c1<\/td><td><mathml>\\[(x-0)^2\\ +\\ (y+480.12)^2\\ = 250116.95\\]<\/mathml><\/td><\/tr><tr><td>centre of the Circle c1<\/td><td>F=(0,- 480.01)<\/td><\/tr><tr><td>Radius of the Circle c1<\/td><td>AF = 500.01<\/td><\/tr><tr><td>Equation of the Circle c2<\/td><td><mathml>\\[(x-196.87)^2\\ +\\ (y-478.7)^2\\ =229156.98\\<\/mathml><\/td><\/tr><tr><td>centre of the Circle c2<\/td><td>G=(199.04,500.37)<\/td><\/tr><tr><td>Radius of the Circle c2<\/td><td>BG=500.37<\/td><\/tr><tr><td>Radius of the reverse Curve (R)<\/td><td>500<\/td><\/tr><tr><td>Length of the reverse Curve (I)<\/td><td>I = 200.34<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-text-align-center has-vivid-red-color has-text-color has-link-color wp-elements-7bb52013d93ae8f35201a3c510fda8ba\">Output for variation in distance between the parallel straights (V).<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td>Distance Between Parallel Straights (V)<\/td><td>Radius of the reverse Curve (R)<\/td><td>Length of the reverse Curve (I)<\/td><\/tr><tr><td><\/td><td><\/td><td><\/td><\/tr><tr><td><\/td><td><\/td><td><\/td><\/tr><tr><td><\/td><td><\/td><td><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"has-text-align-center has-vivid-red-color has-text-color has-link-color wp-elements-e0f911be09e66b30cf3dffb977557b57\">Output for variation in distance between the Endpoints of the Inverse Curve.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><td>Distance Between the Endpoints of the reverse curve (L)<\/td><td>Radius of the reverse Curve (R)<\/td><td>Length of the reverse Curve (I)<\/td><\/tr><tr><td><\/td><td><\/td><td><\/td><\/tr><tr><td><\/td><td><\/td><td><\/td><\/tr><tr><td><\/td><td><\/td><td><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n<p><iframe width=\"878\" height=\"549\" src=\"https:\/\/www.youtube.com\/embed\/8ma3gAweebs\" title=\"Radius and Length of Reverse Curve Problem using Geogebra Classic 5 - Solution Explained in Telugu\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen=\"\"><\/iframe><\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Aim: Procedure: Output: Output for radius of curvature and length of the curve. Description Formula \/ Value Distance between parallels (V) V = 20 Distance between endpoint of the Inverse Curve (L) L = 200 Equation of the Circle c1 \\[(x-0)^2\\ +\\ (y+480.12)^2\\ = 250116.95\\] centre of the Circle c1 F=(0,- 480.01) Radius of the [&hellip;]<\/p>\n","protected":false},"author":187055548,"featured_media":57183,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"disabled","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"set","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false},"version":2},"_wpas_customize_per_network":false,"jetpack_post_was_ever_published":false},"categories":[711788743],"tags":[],"class_list":["post-57075","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-applied-mathematics-i"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>RADIUS OF REVERSE CURVE USING GEOGEBRA CLASSIC - 5 - YANAMTAKSHASHILA<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/yanamtakshashila.com\/?p=57075\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"RADIUS OF REVERSE CURVE USING GEOGEBRA CLASSIC - 5 - YANAMTAKSHASHILA\" \/>\n<meta property=\"og:description\" content=\"Aim: Procedure: Output: Output for radius of curvature and length of the curve. Description Formula \/ Value Distance between parallels (V) V = 20 Distance between endpoint of the Inverse Curve (L) L = 200 Equation of the Circle c1 [(x-0)^2 + (y+480.12)^2 = 250116.95] centre of the Circle c1 F=(0,- 480.01) Radius of the [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/yanamtakshashila.com\/?p=57075\" \/>\n<meta property=\"og:site_name\" content=\"YANAMTAKSHASHILA\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/profile.php?id=100063680185552\" \/>\n<meta property=\"article:author\" content=\"https:\/\/www.facebook.com\/profile.php?id=100063680185552\" \/>\n<meta property=\"article:published_time\" content=\"2025-03-07T11:16:01+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2026-02-24T16:16:37+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/yanamtakshashila.com\/wp-content\/uploads\/2025\/03\/Screenshot-2025-03-09-at-10.33.30\u202fPM.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1200\" \/>\n\t<meta property=\"og:image:height\" content=\"675\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"rajuviswa\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"rajuviswa\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"5 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/yanamtakshashila.com\\\/?p=57075#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/yanamtakshashila.com\\\/?p=57075\"},\"author\":{\"name\":\"rajuviswa\",\"@id\":\"https:\\\/\\\/yanamtakshashila.com\\\/#\\\/schema\\\/person\\\/a990a0af264ac2298c19fa61d2bda16e\"},\"headline\":\"RADIUS OF REVERSE CURVE USING GEOGEBRA CLASSIC &#8211; 5\",\"datePublished\":\"2025-03-07T11:16:01+00:00\",\"dateModified\":\"2026-02-24T16:16:37+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/yanamtakshashila.com\\\/?p=57075\"},\"wordCount\":1004,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\\\/\\\/yanamtakshashila.com\\\/#\\\/schema\\\/person\\\/a990a0af264ac2298c19fa61d2bda16e\"},\"image\":{\"@id\":\"https:\\\/\\\/yanamtakshashila.com\\\/?p=57075#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/i0.wp.com\\\/yanamtakshashila.com\\\/wp-content\\\/uploads\\\/2025\\\/03\\\/Screenshot-2025-03-09-at-10.33.30%E2%80%AFPM.jpg?fit=1200%2C675&ssl=1\",\"articleSection\":[\"Applied Mathematics - I\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/yanamtakshashila.com\\\/?p=57075#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/yanamtakshashila.com\\\/?p=57075\",\"url\":\"https:\\\/\\\/yanamtakshashila.com\\\/?p=57075\",\"name\":\"RADIUS OF REVERSE CURVE USING GEOGEBRA CLASSIC - 5 - YANAMTAKSHASHILA\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/yanamtakshashila.com\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/yanamtakshashila.com\\\/?p=57075#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/yanamtakshashila.com\\\/?p=57075#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/i0.wp.com\\\/yanamtakshashila.com\\\/wp-content\\\/uploads\\\/2025\\\/03\\\/Screenshot-2025-03-09-at-10.33.30%E2%80%AFPM.jpg?fit=1200%2C675&ssl=1\",\"datePublished\":\"2025-03-07T11:16:01+00:00\",\"dateModified\":\"2026-02-24T16:16:37+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/yanamtakshashila.com\\\/?p=57075#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/yanamtakshashila.com\\\/?p=57075\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/yanamtakshashila.com\\\/?p=57075#primaryimage\",\"url\":\"https:\\\/\\\/i0.wp.com\\\/yanamtakshashila.com\\\/wp-content\\\/uploads\\\/2025\\\/03\\\/Screenshot-2025-03-09-at-10.33.30%E2%80%AFPM.jpg?fit=1200%2C675&ssl=1\",\"contentUrl\":\"https:\\\/\\\/i0.wp.com\\\/yanamtakshashila.com\\\/wp-content\\\/uploads\\\/2025\\\/03\\\/Screenshot-2025-03-09-at-10.33.30%E2%80%AFPM.jpg?fit=1200%2C675&ssl=1\",\"width\":1200,\"height\":675},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/yanamtakshashila.com\\\/?p=57075#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/yanamtakshashila.com\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"RADIUS OF REVERSE CURVE USING GEOGEBRA CLASSIC &#8211; 5\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/yanamtakshashila.com\\\/#website\",\"url\":\"https:\\\/\\\/yanamtakshashila.com\\\/\",\"name\":\"yanamtakshashila.com\",\"description\":\"one stop solutions\",\"publisher\":{\"@id\":\"https:\\\/\\\/yanamtakshashila.com\\\/#\\\/schema\\\/person\\\/a990a0af264ac2298c19fa61d2bda16e\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/yanamtakshashila.com\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":[\"Person\",\"Organization\"],\"@id\":\"https:\\\/\\\/yanamtakshashila.com\\\/#\\\/schema\\\/person\\\/a990a0af264ac2298c19fa61d2bda16e\",\"name\":\"rajuviswa\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/i0.wp.com\\\/yanamtakshashila.com\\\/wp-content\\\/uploads\\\/2024\\\/12\\\/LOGO-PNG.png?fit=3600%2C3600&ssl=1\",\"url\":\"https:\\\/\\\/i0.wp.com\\\/yanamtakshashila.com\\\/wp-content\\\/uploads\\\/2024\\\/12\\\/LOGO-PNG.png?fit=3600%2C3600&ssl=1\",\"contentUrl\":\"https:\\\/\\\/i0.wp.com\\\/yanamtakshashila.com\\\/wp-content\\\/uploads\\\/2024\\\/12\\\/LOGO-PNG.png?fit=3600%2C3600&ssl=1\",\"width\":3600,\"height\":3600,\"caption\":\"rajuviswa\"},\"logo\":{\"@id\":\"https:\\\/\\\/i0.wp.com\\\/yanamtakshashila.com\\\/wp-content\\\/uploads\\\/2024\\\/12\\\/LOGO-PNG.png?fit=3600%2C3600&ssl=1\"},\"sameAs\":[\"http:\\\/\\\/yanamtakshashila.wordpress.com\",\"https:\\\/\\\/www.facebook.com\\\/profile.php?id=100063680185552\",\"https:\\\/\\\/www.instagram.com\\\/rajuviswa\\\/?hl=en\",\"https:\\\/\\\/www.youtube.com\\\/channel\\\/UCjJ2KWWvsFm6F42UtMdbxzw\"],\"url\":\"https:\\\/\\\/yanamtakshashila.com\\\/?author=187055548\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"RADIUS OF REVERSE CURVE USING GEOGEBRA CLASSIC - 5 - YANAMTAKSHASHILA","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/yanamtakshashila.com\/?p=57075","og_locale":"en_US","og_type":"article","og_title":"RADIUS OF REVERSE CURVE USING GEOGEBRA CLASSIC - 5 - YANAMTAKSHASHILA","og_description":"Aim: Procedure: Output: Output for radius of curvature and length of the curve. Description Formula \/ Value Distance between parallels (V) V = 20 Distance between endpoint of the Inverse Curve (L) L = 200 Equation of the Circle c1 [(x-0)^2 + (y+480.12)^2 = 250116.95] centre of the Circle c1 F=(0,- 480.01) Radius of the [&hellip;]","og_url":"https:\/\/yanamtakshashila.com\/?p=57075","og_site_name":"YANAMTAKSHASHILA","article_publisher":"https:\/\/www.facebook.com\/profile.php?id=100063680185552","article_author":"https:\/\/www.facebook.com\/profile.php?id=100063680185552","article_published_time":"2025-03-07T11:16:01+00:00","article_modified_time":"2026-02-24T16:16:37+00:00","og_image":[{"width":1200,"height":675,"url":"https:\/\/yanamtakshashila.com\/wp-content\/uploads\/2025\/03\/Screenshot-2025-03-09-at-10.33.30\u202fPM.jpg","type":"image\/jpeg"}],"author":"rajuviswa","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rajuviswa","Est. reading time":"5 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/yanamtakshashila.com\/?p=57075#article","isPartOf":{"@id":"https:\/\/yanamtakshashila.com\/?p=57075"},"author":{"name":"rajuviswa","@id":"https:\/\/yanamtakshashila.com\/#\/schema\/person\/a990a0af264ac2298c19fa61d2bda16e"},"headline":"RADIUS OF REVERSE CURVE USING GEOGEBRA CLASSIC &#8211; 5","datePublished":"2025-03-07T11:16:01+00:00","dateModified":"2026-02-24T16:16:37+00:00","mainEntityOfPage":{"@id":"https:\/\/yanamtakshashila.com\/?p=57075"},"wordCount":1004,"commentCount":0,"publisher":{"@id":"https:\/\/yanamtakshashila.com\/#\/schema\/person\/a990a0af264ac2298c19fa61d2bda16e"},"image":{"@id":"https:\/\/yanamtakshashila.com\/?p=57075#primaryimage"},"thumbnailUrl":"https:\/\/i0.wp.com\/yanamtakshashila.com\/wp-content\/uploads\/2025\/03\/Screenshot-2025-03-09-at-10.33.30%E2%80%AFPM.jpg?fit=1200%2C675&ssl=1","articleSection":["Applied Mathematics - I"],"inLanguage":"en-US","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/yanamtakshashila.com\/?p=57075#respond"]}]},{"@type":"WebPage","@id":"https:\/\/yanamtakshashila.com\/?p=57075","url":"https:\/\/yanamtakshashila.com\/?p=57075","name":"RADIUS OF REVERSE CURVE USING GEOGEBRA CLASSIC - 5 - YANAMTAKSHASHILA","isPartOf":{"@id":"https:\/\/yanamtakshashila.com\/#website"},"primaryImageOfPage":{"@id":"https:\/\/yanamtakshashila.com\/?p=57075#primaryimage"},"image":{"@id":"https:\/\/yanamtakshashila.com\/?p=57075#primaryimage"},"thumbnailUrl":"https:\/\/i0.wp.com\/yanamtakshashila.com\/wp-content\/uploads\/2025\/03\/Screenshot-2025-03-09-at-10.33.30%E2%80%AFPM.jpg?fit=1200%2C675&ssl=1","datePublished":"2025-03-07T11:16:01+00:00","dateModified":"2026-02-24T16:16:37+00:00","breadcrumb":{"@id":"https:\/\/yanamtakshashila.com\/?p=57075#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/yanamtakshashila.com\/?p=57075"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/yanamtakshashila.com\/?p=57075#primaryimage","url":"https:\/\/i0.wp.com\/yanamtakshashila.com\/wp-content\/uploads\/2025\/03\/Screenshot-2025-03-09-at-10.33.30%E2%80%AFPM.jpg?fit=1200%2C675&ssl=1","contentUrl":"https:\/\/i0.wp.com\/yanamtakshashila.com\/wp-content\/uploads\/2025\/03\/Screenshot-2025-03-09-at-10.33.30%E2%80%AFPM.jpg?fit=1200%2C675&ssl=1","width":1200,"height":675},{"@type":"BreadcrumbList","@id":"https:\/\/yanamtakshashila.com\/?p=57075#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/yanamtakshashila.com\/"},{"@type":"ListItem","position":2,"name":"RADIUS OF REVERSE CURVE USING GEOGEBRA CLASSIC &#8211; 5"}]},{"@type":"WebSite","@id":"https:\/\/yanamtakshashila.com\/#website","url":"https:\/\/yanamtakshashila.com\/","name":"yanamtakshashila.com","description":"one stop solutions","publisher":{"@id":"https:\/\/yanamtakshashila.com\/#\/schema\/person\/a990a0af264ac2298c19fa61d2bda16e"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/yanamtakshashila.com\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":["Person","Organization"],"@id":"https:\/\/yanamtakshashila.com\/#\/schema\/person\/a990a0af264ac2298c19fa61d2bda16e","name":"rajuviswa","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/i0.wp.com\/yanamtakshashila.com\/wp-content\/uploads\/2024\/12\/LOGO-PNG.png?fit=3600%2C3600&ssl=1","url":"https:\/\/i0.wp.com\/yanamtakshashila.com\/wp-content\/uploads\/2024\/12\/LOGO-PNG.png?fit=3600%2C3600&ssl=1","contentUrl":"https:\/\/i0.wp.com\/yanamtakshashila.com\/wp-content\/uploads\/2024\/12\/LOGO-PNG.png?fit=3600%2C3600&ssl=1","width":3600,"height":3600,"caption":"rajuviswa"},"logo":{"@id":"https:\/\/i0.wp.com\/yanamtakshashila.com\/wp-content\/uploads\/2024\/12\/LOGO-PNG.png?fit=3600%2C3600&ssl=1"},"sameAs":["http:\/\/yanamtakshashila.wordpress.com","https:\/\/www.facebook.com\/profile.php?id=100063680185552","https:\/\/www.instagram.com\/rajuviswa\/?hl=en","https:\/\/www.youtube.com\/channel\/UCjJ2KWWvsFm6F42UtMdbxzw"],"url":"https:\/\/yanamtakshashila.com\/?author=187055548"}]}},"jetpack_publicize_connections":[],"jetpack_featured_media_url":"https:\/\/i0.wp.com\/yanamtakshashila.com\/wp-content\/uploads\/2025\/03\/Screenshot-2025-03-09-at-10.33.30%E2%80%AFPM.jpg?fit=1200%2C675&ssl=1","jetpack_likes_enabled":true,"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/pc3kmt-eQz","_links":{"self":[{"href":"https:\/\/yanamtakshashila.com\/index.php?rest_route=\/wp\/v2\/posts\/57075","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/yanamtakshashila.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/yanamtakshashila.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/yanamtakshashila.com\/index.php?rest_route=\/wp\/v2\/users\/187055548"}],"replies":[{"embeddable":true,"href":"https:\/\/yanamtakshashila.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=57075"}],"version-history":[{"count":40,"href":"https:\/\/yanamtakshashila.com\/index.php?rest_route=\/wp\/v2\/posts\/57075\/revisions"}],"predecessor-version":[{"id":64343,"href":"https:\/\/yanamtakshashila.com\/index.php?rest_route=\/wp\/v2\/posts\/57075\/revisions\/64343"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/yanamtakshashila.com\/index.php?rest_route=\/wp\/v2\/media\/57183"}],"wp:attachment":[{"href":"https:\/\/yanamtakshashila.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=57075"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/yanamtakshashila.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=57075"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/yanamtakshashila.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=57075"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}