{"id":156200,"date":"2022-03-26T01:29:33","date_gmt":"2022-03-25T19:59:33","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/length-of-tangent\/"},"modified":"2022-12-22T21:37:36","modified_gmt":"2022-12-22T16:07:36","slug":"length-of-tangent","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/length-of-tangent\/","title":{"rendered":"Length of Tangent"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/length-of-tangent\/#Definition_of_Tangent\" title=\"Definition of Tangent\">Definition of Tangent<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/length-of-tangent\/#Tangents_Drawn_to_Circle_from_External_Point_Length_of_Tangent_Theorem\" title=\"Tangents Drawn to Circle from External Point (Length of Tangent Theorem):\">Tangents Drawn to Circle from External Point (Length of Tangent Theorem):<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/length-of-tangent\/#Length_of_Tangent_Theorem\" title=\"Length of Tangent Theorem:\">Length of Tangent Theorem:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/length-of-tangent\/#Length_of_Tangent_Theorem_Statement\" title=\"Length of Tangent Theorem Statement:\">Length of Tangent Theorem Statement:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/length-of-tangent\/#Length_of_Tangents_Example_Problems\" title=\"Length of Tangents Example Problems:\">Length of Tangents Example Problems:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/length-of-tangent\/#What_is_Length_of_Tangent_on_a_Circle\" title=\"What is Length of Tangent on a Circle\">What is Length of Tangent on a Circle<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Definition_of_Tangent\"><\/span>Definition of Tangent<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A tangent is a straight line that touches a curve at one point and goes off in a straight line. The point of contact is called the point of tangency.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-156199 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/length-of-tangent.jpg\" alt=\"\" width=\"606\" height=\"428\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/length-of-tangent.jpg?v=1648238370 606w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/length-of-tangent-300x212.jpg?v=1648238370 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Tangents_Drawn_to_Circle_from_External_Point_Length_of_Tangent_Theorem\"><\/span>Tangents Drawn to Circle from External Point (Length of Tangent Theorem):<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A tangent is a line that touches a curve at a single point and is perpendicular to the curve at that point. The length of a tangent from an external point to a circle is the length of the hypotenuse of a right triangle whose other two sides are the radius of the circle and the point where the tangent intersects the circle.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Length_of_Tangent_Theorem\"><\/span>Length of Tangent Theorem:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The length of the tangent at a point on a curve is the length of the segment from the point to the curve.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Length_of_Tangent_Theorem_Statement\"><\/span>Length of Tangent Theorem Statement:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The length of a tangent to a circle is the length of the segment from the point of tangency to the center of the circle.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Length_of_Tangents_Example_Problems\"><\/span>Length of Tangents Example Problems:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>1. Find the length of the tangent to the circle at the point (2, 3).<\/p>\n<p>The tangent has a length of 5.<\/p>\n<p>2. Find the length of the tangent to the circle at the point (5, 6).<\/p>\n<p>The tangent has a length of 8.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_is_Length_of_Tangent_on_a_Circle\"><\/span>What is Length of Tangent on a Circle<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A tangent is a straight line that intersects a circle at one point. The length of the tangent is the distance from the point of intersection to the circle.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Definition of Tangent A tangent is a straight line that touches a curve at one point and goes off in [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Length of Tangent","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Learn Length of Tangent topic of Maths in details explained by subject experts on infinitylearn.com. 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