{"id":155320,"date":"2022-03-26T00:30:53","date_gmt":"2022-03-25T19:00:53","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/area-of-ellipse-explanation-formulas-solved-examples-and-faqs\/"},"modified":"2023-01-02T17:16:40","modified_gmt":"2023-01-02T11:46:40","slug":"area-of-ellipse-explanation-formulas-solved-examples-and-faqs","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/area-of-ellipse\/","title":{"rendered":"Area of Ellipse \u2013 Explanation, Formulas, Solved Examples and FAQs"},"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\/area-of-ellipse\/#Formulas_for_Ellipse\" title=\"Formulas for Ellipse\">Formulas for Ellipse<\/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\/area-of-ellipse\/#Major_and_Minor_Axes_of_a_Graph\" title=\"Major and Minor Axes of a Graph\">Major and Minor Axes of a Graph<\/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\/area-of-ellipse\/#Special_Case_of_Ellipse_in_a_Circles_Area\" title=\"Special Case of Ellipse in a Circle&#8217;s Area\">Special Case of Ellipse in a Circle&#8217;s Area<\/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\/area-of-ellipse\/#Purpose_of_Calculating_Area_of_Ellipse\" title=\"Purpose of Calculating Area of Ellipse\">Purpose of Calculating Area of Ellipse<\/a><\/li><\/ul><\/nav><\/div>\n<p><span style=\"font-size: 14pt;\"><strong>Introduction to Area of Ellipse<\/strong><\/span><\/p>\n<p>An ellipse is a plane curve that results from the intersection of a cone with a plane parallel to its side. The plane curve is formed by the points of intersection of the cone&#8217;s surface with the plane. The points of intersection are the ellipse&#8217;s vertices. The ellipse&#8217;s major and minor axes are the lines drawn from the ellipse&#8217;s center to its vertices. The ellipse&#8217;s eccentricity is a measure of how elongated the ellipse is.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-155319 size-medium\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/area-of-ellipse-explanation-formulas-solved-examples-and-faqs-300x212.jpg\" alt=\"Area of Ellipse \" width=\"300\" height=\"212\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/area-of-ellipse-explanation-formulas-solved-examples-and-faqs-300x212.jpg?v=1648234851 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/area-of-ellipse-explanation-formulas-solved-examples-and-faqs.jpg?v=1648234851 606w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Formulas_for_Ellipse\"><\/span>Formulas for Ellipse<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>There are three standard equations for drawing an ellipse, depending on the relative positions of the foci (where the ellipse is widest).<\/p>\n<p>1. If the foci are on the same line, the equation is<\/p>\n<p>x2\/a2 + y2\/b2 = 1<\/p>\n<p>2. If the foci are at different points, the equation is<\/p>\n<p>x2\/a2 + y2\/b2 = 1<br \/>\n+ c2<\/p>\n<p>3. If the foci are at the same point, but the major axis is not along the x-axis, the equation is<\/p>\n<p>x2\/a2 + y2\/b2 = 1<br \/>\n\u2013 c2<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Major_and_Minor_Axes_of_a_Graph\"><\/span>Major and Minor Axes of a Graph<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The major and minor axes of a graph are the two longest perpendicular lines that intersect in the graph&#8217;s center. The major axis is the line that contains the graph&#8217;s longest point, while the minor axis is the line that contains the graph&#8217;s shortest point.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Special_Case_of_Ellipse_in_a_Circles_Area\"><\/span>Special Case of Ellipse in a Circle&#8217;s Area<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>If an ellipse intersects a circle at two points, the area of the circle is greater than the area of the ellipse.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Purpose_of_Calculating_Area_of_Ellipse\"><\/span>Purpose of Calculating Area of Ellipse<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The purpose of calculating the area of an ellipse is to determine the size of the enclosed region.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Introduction to Area of Ellipse An ellipse is a plane curve that results from the intersection of a cone with [&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":"Area of Ellipse","_yoast_wpseo_title":"%%title%% %%page%%","_yoast_wpseo_metadesc":"Learn about Area of Ellipse topic of Maths in details explained by subject experts on infinitylearn.com. know more at infinitylearn.com","custom_permalink":"maths\/area-of-ellipse\/"},"categories":[13],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Area of Ellipse \u2013 Explanation, Formulas, Solved Examples and FAQs<\/title>\n<meta name=\"description\" content=\"Learn about Area of Ellipse topic of Maths in details explained by subject experts on infinitylearn.com. know more at infinitylearn.com\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, 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