{"id":72299,"date":"2021-02-04T15:19:58","date_gmt":"2021-02-04T09:49:58","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=72299"},"modified":"2021-02-04T15:20:03","modified_gmt":"2021-02-04T09:50:03","slug":"rd-sharma-chapter-16-class-9-maths-exercise-16-1-solutions","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-16-class-9-maths-exercise-16-1-solutions\/","title":{"rendered":"RD Sharma Chapter 16 Class 9 Maths Exercise 16.1 Solutions"},"content":{"rendered":"\n<p>RD Sharma Chapter 16 Class 9 Maths Exercise 16.1 Solutions covers the following topics: State of a point following a circle. It also covers the topics like Circular Disc, Arc of Circle, Arc length, Central Angle, Minor Arc, Major Arc, Degree measures of an arch, Chord, and the segment of a circle. Apart from these, it also covers the subtopics like Diameter, semi-circle, segments of a circle, and an alternate segment of a circle.<\/p>\n<p>This section, which is chapter 16, addresses the key definitions, like the arc of a circle, chords of a circle, segments of a circle, and the congruence of circles. It provides outcomes on symmetrical chords, arcs, and the angles formed by them, including cyclic quadrilateral. RD Sharma Solutions can be useful for students to exercise problems that are answered by our experts.<\/p>\n<p><strong><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-solutions-class-9-maths-chapter-16-circles\/\" target=\"_blank\" rel=\"noopener noreferrer\">Learn about RD Sharma Chapter 16 Circle Class 9<\/a><\/strong><\/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-69db9bdeb1c87\" 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-69db9bdeb1c87\"><\/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-16-1-solutions\/#download-rd-sharma-chapter-16-class-9-maths-exercise-161-solutions-pdf\" title=\"Download RD Sharma Chapter 16 Class 9 Maths Exercise 16.1 Solutions PDF\">Download RD Sharma Chapter 16 Class 9 Maths Exercise 16.1 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-16-1-solutions\/#important-definitions-rd-sharma-chapter-16-class-9-maths-exercise-161-solutions\" title=\"Important definitions RD Sharma Chapter 16 Class 9 Maths Exercise 16.1 Solutions\">Important definitions RD Sharma Chapter 16 Class 9 Maths Exercise 16.1 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-16-1-solutions\/#position-of-a-point-concerning-a-circle\" title=\"Position of a Point concerning a Circle\">Position of a Point concerning a Circle<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-16-class-9-maths-exercise-16-1-solutions\/#circular-disc\" title=\"Circular Disc\">Circular Disc<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-16-class-9-maths-exercise-16-1-solutions\/#concentric-circles\" title=\"Concentric Circles\">Concentric Circles<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-16-class-9-maths-exercise-16-1-solutions\/#arc-of-a-circle\" title=\"Arc of a Circle\">Arc of a Circle<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-16-class-9-maths-exercise-16-1-solutions\/#length-of-an-arc\" title=\"Length of an Arc\">Length of an Arc<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-16-class-9-maths-exercise-16-1-solutions\/#central-angle\" title=\"Central Angle\">Central Angle<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-16-class-9-maths-exercise-16-1-solutions\/#minor-arc\" title=\"Minor Arc\">Minor Arc<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-16-class-9-maths-exercise-16-1-solutions\/#major-arc\" title=\"Major Arc\">Major Arc<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-16-class-9-maths-exercise-16-1-solutions\/#the-degree-measure-of-an-arc\" title=\"The degree measure of an arc\">The degree measure of an arc<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-16-class-9-maths-exercise-16-1-solutions\/#chord-and-segment-of-a-circle\" title=\"Chord and segment of a circle\">Chord and segment of a circle<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-16-class-9-maths-exercise-16-1-solutions\/#question-related-to-rd-sharma-chapter-16-class-9-maths-exercise-161-solutions\" title=\"Question-Related to RD Sharma Chapter 16 Class 9 Maths Exercise 16.1 Solutions\">Question-Related to RD Sharma Chapter 16 Class 9 Maths Exercise 16.1 Solutions<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-16-class-9-maths-exercise-16-1-solutions\/#benefits-of-rd-sharma-chapter-16-class-9-maths-exercise-161-solutions\" title=\"Benefits of RD Sharma Chapter 16 Class 9 Maths Exercise 16.1 Solutions\">Benefits of RD Sharma Chapter 16 Class 9 Maths Exercise 16.1 Solutions<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-chapter-16-class-9-maths-exercise-161-solutions-pdf\"><\/span>Download RD Sharma Chapter 16 Class 9 Maths Exercise 16.1 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-16.1.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-16.1.pdf\">Solutions for Class 9 Maths Chapter 16 Circles Exercise 16.1<\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"important-definitions-rd-sharma-chapter-16-class-9-maths-exercise-161-solutions\"><\/span>Important definitions RD Sharma Chapter 16 Class 9 Maths Exercise 16.1 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Go down and know the definitions of the topics and subtopics related to the<\/p>\n<p>In the following points, we have mentioned the\u00a0 RD Sharma Chapter 16 Class 9 Maths Exercise 16.1 Solutions.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"position-of-a-point-concerning-a-circle\"><\/span><strong>Position of a Point concerning a Circle<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The position of a point concerning a circle can be determined upon measuring the distance between the concerned point and the circle\u2019s center, which can then be compared with the radius. For example, if the distance is more than the radius, the point lies exterior to the circle.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"circular-disc\"><\/span><strong>Circular Disc<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>A circular disc is a geometrical term primarily an area in the plane surrounded by a circle. If the circle forms its boundary, then it is called a closed disc. Otherwise, it\u2019s an open disc.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"concentric-circles\"><\/span><strong>Concentric Circles<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Concentric circles are basically those multiple circles with one common center. The area between two concentric circles, irrespective of their radius, is known as the annulus.\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p>\n<h3><span class=\"ez-toc-section\" id=\"arc-of-a-circle\"><\/span><strong>Arc of a Circle<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>An arc of the circle can be any section of a circle\u2019s circumference. One can understand the circumference of the circle as the complete arc of the concerned circle itself.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"length-of-an-arc\"><\/span><strong>Length of an Arc<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The length of an arc is the extent (distance) through the arc, which can be integral to the circle circumference or of the curve.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"central-angle\"><\/span><strong>Central Angle<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>A central angle is an angle, which has its endpoints, which are positioned on the circumference of a circle, and the vertex of which is situated at the center of the circle.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"minor-arc\"><\/span><strong>Minor Arc<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Minor arcs are the arcs smaller in comparison to a semicircle. The central angle formed by the minor arc often remains under 180 degrees.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"major-arc\"><\/span><strong>Major Arc<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Major arcs are the arcs bigger in comparison to a semicircle. The central angle formed by the minor arc is above 180 degrees.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"the-degree-measure-of-an-arc\"><\/span><strong>The degree measure of an arc<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The degree measure of an arc is related to the circle, which is the same as measuring the central angle intercepting the arc.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"chord-and-segment-of-a-circle\"><\/span><strong>Chord and segment of a circle<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>A segment of a circle is basically the region surrounded by a chord and the corresponding arc between the endpoints of the chord.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"question-related-to-rd-sharma-chapter-16-class-9-maths-exercise-161-solutions\"><\/span>Question-Related to RD Sharma Chapter 16 Class 9 Maths Exercise 16.1 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Ques 1: Fill in the blanks:<\/strong><\/p>\n<p>(a) All points lying outside\/ inside a circle are known as ______ points\/_______ points.<\/p>\n<p>(b) Circles having the same center and various radii are known _____ circles.<\/p>\n<p>(c) A continuous part of a circle is _______ of the circle.<\/p>\n<p>Answers-<\/p>\n<p>(a) Exterior\/ Interior<\/p>\n<p>(b) Concentric<\/p>\n<p>(c) Arc<\/p>\n<p><strong>Ques 2: Write the truth value (True\/ False) of the following:<\/strong><\/p>\n<p>(i) A circle is a plane figure- True<\/p>\n<p>(ii) Line segment merging the center to any point on the circle is a radius of the circle- True<\/p>\n<p>(iii) If a circle is divided into three equivalent arcs, each is a major arc- True<\/p>\n<p>(iv) A circle has only a finite number of equal chords- False<\/p>\n<p>(v) A chord of a circle that is twice as long as its radius is the diameter of the circle- True<\/p>\n<p>(vii) The degree measure of an arc is the complement of the central angle containing the arc- False<\/p>\n<p>(viii) The degree measure of a semi-circle is 1800- False<\/p>\n<h2><span class=\"ez-toc-section\" id=\"benefits-of-rd-sharma-chapter-16-class-9-maths-exercise-161-solutions\"><\/span>Benefits of RD Sharma Chapter 16 Class 9 Maths Exercise 16.1 Solutions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Through RD Sharma Solutions, class 9th students will be able to address the exercises&#8217; problems in a much quicker fashion. Moreover, along with the answers, the solutions here provide analytic insight as well.<\/p>\n<p>Moreover, with RD Sharma Chapter 16 Class 9 Maths Exercise 16.1 Solutions, learners can solve the questions mentioned in the exercise in a shorter duration, with a clear idea of the circles. These solutions can be the best ways for the students to prepare during a short while.<\/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 16.1 Solutions covers the following topics: State of a point following a circle. It also covers the topics like Circular Disc, Arc of Circle, Arc length, Central Angle, Minor Arc, Major Arc, Degree measures of an arch, Chord, and the segment of a circle. Apart from these, &#8230; <a title=\"RD Sharma Chapter 16 Class 9 Maths Exercise 16.1 Solutions\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-chapter-16-class-9-maths-exercise-16-1-solutions\/\" aria-label=\"More on RD Sharma Chapter 16 Class 9 Maths Exercise 16.1 Solutions\">Read more<\/a><\/p>\n","protected":false},"author":241,"featured_media":72300,"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\/72299"}],"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=72299"}],"version-history":[{"count":3,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/72299\/revisions"}],"predecessor-version":[{"id":73420,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/72299\/revisions\/73420"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/72300"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=72299"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=72299"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=72299"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}