{"id":72304,"date":"2021-02-04T15:20:01","date_gmt":"2021-02-04T09:50:01","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=72304"},"modified":"2021-02-04T15:20:08","modified_gmt":"2021-02-04T09:50:08","slug":"rd-sharma-chapter-16-class-9-maths-exercise-16-3-solutions","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-16-class-9-maths-exercise-16-3-solutions\/","title":{"rendered":"RD Sharma Chapter 16 Class 9 Maths Exercise 16.3 Solutions"},"content":{"rendered":"\n<p>RD Sharma Chapter 16 Class 9 Maths Exercise 16.3 Solutions focuses on the key outcomes based on equal chords concerns with Circle. These are important from the examination point of view to address varieties of problems or questions appearing in the exams based on circles. We have provided some examples in the articles, and students may take the help of those questions while practicing for the exam.<\/p>\n<p>The PDF attached to this article has given learners a variety of questions for practice. RD Sharma Chapter 16 Class 9 Maths Exercise 16.3 Solutions are prepared by professionals for the students to score well in the exam. PDF is available for free for the learners.<\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-16-circles\/\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Learn about RD Sharma Chapter 16 Class 9<\/strong><\/a><\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_47_1 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\" aria-label=\"ez-toc-toggle-icon-1\"><label for=\"item-69db9bdf19a15\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;direction:ltr;\"><svg style=\"fill: #000000;color:#000000\" 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: #000000;color:#000000\" 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-69db9bdf19a15\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-visibility-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-16-class-9-maths-exercise-16-3-solutions\/#download-rd-sharma-chapter-16-class-9-maths-exercise-163-solutions-pdf\" title=\"Download RD Sharma Chapter 16 Class 9 Maths Exercise 16.3 Solutions PDF\">Download RD Sharma Chapter 16 Class 9 Maths Exercise 16.3 Solutions PDF<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-16-class-9-maths-exercise-16-3-solutions\/#important-questions-rd-sharma-chapter-16-class-9-maths-exercise-163-solutions\" title=\"Important Questions RD Sharma Chapter 16 Class 9 Maths Exercise 16.3 Solutions\">Important Questions RD Sharma Chapter 16 Class 9 Maths Exercise 16.3 Solutions<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-16-class-9-maths-exercise-16-3-solutions\/#examples-related-to-rd-sharma-chapter-16-class-9-maths-exercise-163-solutions\" title=\"Examples Related to RD Sharma Chapter 16 Class 9 Maths Exercise 16.3 Solutions\">Examples Related to RD Sharma Chapter 16 Class 9 Maths Exercise 16.3 Solutions<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-16-class-9-maths-exercise-16-3-solutions\/#frequently-asked-questions-faqs-of-rd-sharma-chapter-16-class-9-maths-exercise-163-solutions\" title=\"Frequently Asked Questions (FAQs) of RD Sharma Chapter 16 Class 9 Maths Exercise 16.3 Solutions\">Frequently Asked Questions (FAQs) of RD Sharma Chapter 16 Class 9 Maths Exercise 16.3 Solutions<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-chapter-16-class-9-maths-exercise-163-solutions-pdf\"><\/span>Download RD Sharma Chapter 16 Class 9 Maths Exercise 16.3 Solutions PDF<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div id=\"example1\" style=\"text-align: justify;\">\u00a0<\/div>\n<p style=\"text-align: justify;\"><style>\n.pdfobject-container { height: 500px;}<br \/>\n.pdfobject { border: 1px solid #666; }<br \/>\n<\/style><\/p>\n<p style=\"text-align: justify;\"><script src=\"https:\/\/www.kopykitab.com\/_utility\/js\/pdfobject.min.js\"><\/script><br \/><script>PDFObject.embed(\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/Solutions-for-Class-9-Maths-Chapter-16-Circles-Exercise-16.3.pdf\", \"#example1\");<\/script><\/p>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/Solutions-for-Class-9-Maths-Chapter-16-Circles-Exercise-16.3.pdf\">Solutions for Class 9 Maths Chapter 16 Circles Exercise 16.3<\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"important-questions-rd-sharma-chapter-16-class-9-maths-exercise-163-solutions\"><\/span>Important Questions RD Sharma Chapter 16 Class 9 Maths Exercise 16.3 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Properties of Equal Chords-<\/p>\n<ol>\n<li>Equal Chords of the circle are equivalent to the center.<\/li>\n<li>In the circle, equal chords subtend corresponding angles at the center.<\/li>\n<\/ol>\n<h3><span class=\"ez-toc-section\" id=\"examples-related-to-rd-sharma-chapter-16-class-9-maths-exercise-163-solutions\"><\/span>Examples Related to RD Sharma Chapter 16 Class 9 Maths Exercise 16.3 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Ques- Three boys Ram, Shyam, and Mohan are playing a game by standing on a circle of radius of 20 m drawn in a park. Ram throws a ball to Shyam, Shyam to Mohan, and Mohan to Ram. If the distance between Ram and Shyam and between Shyam and Mohan is 24 m each, what is the distance between Ram and Mohan?<\/strong><\/p>\n<p><img class=\"wp-image-72305 size-full aligncenter\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/revised-fig-5.png\" alt=\"RD Sharma Chapter 16 Class 9 Maths Exercise 16.3 Solutions\" width=\"406\" height=\"341\" \/><\/p>\n<p><strong>Solution-<\/strong><\/p>\n<p>Let R, S, and M be the position of Ram, Shyam, and Mohan respectively.<\/p>\n<p>Since KA is a perpendicular bisector on RS, so AR = AS = 24\/2 = 12 cm<\/p>\n<p>Radii of circle = OR = OS = OM = 20cm (Given)<\/p>\n<p>In \u0394OAR:<\/p>\n<p>By Pythagoras theorem,<\/p>\n<p>OA2+ AR2= OR2<\/p>\n<p>OA2+ 122= 202<\/p>\n<p>OA2 = 400 \u2013 144 = 256<\/p>\n<p>Or OA = 16m \u2026(1)<\/p>\n<p>From the figure, OABC is a kite since OA = OC and AB = BC.<\/p>\n<p>\u0394RSM, \u2220RCS = 900 and RC = CM \u2026(2)<\/p>\n<p>So, Area of \u0394ORS = Area of \u0394ORS<\/p>\n<p>=&gt;1\/2\u00d7 OA\u00d7 RS = 1\/2 x RC x OS<\/p>\n<p>=&gt; OA \u00d7 RS = RC x OS<\/p>\n<p>=&gt; 16 x 24 = RC x 20<\/p>\n<p>=&gt; RC = 19.2<\/p>\n<p>Since RC = CM (from (2), we have<\/p>\n<p>RM = 2(19.2) = 38.4<\/p>\n<p>So, the distance between Ram and Mohan is 38.4 m.<\/p>\n<p><strong>Ques- A circular park of a radius of 40m is located in a colony. Three girls Anita, Babita, and Kavita are sitting at the same distance on its boundary all having a toy telephone in their hands to talk to each other. Find the length of the cord of each phone.<\/strong><\/p>\n<p><img class=\"alignnone size-full wp-image-72306 aligncenter\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/01\/fig-6.png\" alt=\"RD Sharma Chapter 16 Class 9 Maths Exercise 16.3 Solutions\" width=\"338\" height=\"290\" \/><\/p>\n<p><strong>Solution-<\/strong><\/p>\n<p>Since, AB = BC = CA. So, ABC is an equilateral triangle<\/p>\n<p>Radius = OA = 40m (Given)<\/p>\n<p>We know, medians of the equilateral triangle pass by the circumcentre and meet each other at the ratio 2:1.<\/p>\n<p>Here, AD is the median of equilateral triangle ABC, so-<\/p>\n<p>OA\/OD = 2\/1<\/p>\n<p>or 40\/OD = 2\/1<\/p>\n<p>or OD = 20 m<\/p>\n<p>Therefore, AD = OA + OD = (40 + 20) m = 60 m<\/p>\n<p>Now, In \u0394ADC:<\/p>\n<p>By Pythagoras theorem,<\/p>\n<p>AC2 = AD2 + DC2<\/p>\n<p>AC2 = 602 + (AC\/2) 2<\/p>\n<p>AC2 = 3600 + AC2 \/ 4<\/p>\n<p>3\/4 AC2 = 3600<\/p>\n<p>AC2 = 4800<\/p>\n<p>or AC = 40\u221a3 m<\/p>\n<p>Therefore, length of cord of each telephone will be 40\u221a3 m.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"frequently-asked-questions-faqs-of-rd-sharma-chapter-16-class-9-maths-exercise-163-solutions\"><\/span>Frequently Asked Questions (FAQs) of RD Sharma Chapter 16 Class 9 Maths Exercise 16.3 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Ques- Is this section explicitly meant for addressing questions in circles only?<\/strong><\/p>\n<p><strong>Ans-<\/strong> Yes, this section is also primarily about questions on circles. However, the students can expect questions on equal chords. Specifically, one can expect very similar questions as provided above.<\/p>\n<p><strong>Ques- What is the equal chords of a circle?<\/strong><\/p>\n<p><strong>Ans-<\/strong> Equal chords of a circle are equivalent to its center.<\/p>\n<p><strong>Ques- Can a diameter be a chord?<\/strong><\/p>\n<p><strong>Ans-<\/strong> A chord that crosses through the center of a circle is known as diameter and is the longest chord.<\/p>\n<p><strong>Ques- How many equal chords are there in a circle?<\/strong><\/p>\n<p><strong>Ans-<\/strong> In a circle, if two chords are equivalent from the center of the circle, then two chords are the same in length.<\/p>\n<p><a href=\"https:\/\/www.cbse.gov.in\/\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Know about CBSE Board<\/strong><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>RD Sharma Chapter 16 Class 9 Maths Exercise 16.3 Solutions focuses on the key outcomes based on equal chords concerns with Circle. These are important from the examination point of view to address varieties of problems or questions appearing in the exams based on circles. We have provided some examples in the articles, and students &#8230; <a title=\"RD Sharma Chapter 16 Class 9 Maths Exercise 16.3 Solutions\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-16-class-9-maths-exercise-16-3-solutions\/\" aria-label=\"More on RD Sharma Chapter 16 Class 9 Maths Exercise 16.3 Solutions\">Read more<\/a><\/p>\n","protected":false},"author":241,"featured_media":72308,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[2985,2917,73719,73411],"tags":[3081,3086,3085],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/72304"}],"collection":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/users\/241"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=72304"}],"version-history":[{"count":3,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/72304\/revisions"}],"predecessor-version":[{"id":73422,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/72304\/revisions\/73422"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/72308"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=72304"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=72304"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=72304"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}