https://padhaiwise.com/resources/class-10/ncert-solutions/maths-22/11-areas-related-to-circles/ Recent content in NCERT Solutions Class 10 Maths Chapter 11 Areas Related to Circles on Padhaiwise en © 2026 Padhaiwise. All rights reserved. https://padhaiwise.com/resources/class-10/ncert-solutions/maths-22/11-areas-related-to-circles/exercise-11.1/ Mon, 01 Jan 0001 00:00:00 +0000 https://padhaiwise.com/resources/class-10/ncert-solutions/maths-22/11-areas-related-to-circles/exercise-11.1/ <h1 id="ncert-solutions-for-class-10-maths-chapter-11-areas-related-to-circles-exercise-111">NCERT Solutions for Class 10 Maths Chapter 11 Areas Related to Circles Exercise 11.1<a class="anchor" href="#ncert-solutions-for-class-10-maths-chapter-11-areas-related-to-circles-exercise-111">#</a></h1> <p>Exercise 11.1 covers areas of sectors, segments, and combinations of plane figures involving circles.</p> <blockquote class='book-hint info'> <p><strong>Key Formulas:</strong></p></blockquote><ul> <li>Length of arc $= \dfrac{\theta}{360°} \times 2\pi r$</li> <li>Area of sector $= \dfrac{\theta}{360°} \times \pi r^2$</li> <li>Area of minor segment $=$ Area of sector $-$ Area of triangle</li> <li>Use $\pi = \dfrac{22}{7}$ unless stated otherwise.</li> </ul> <h2 id="1-find-the-area-of-a-sector-of-a-circle-with-radius-6-cm-if-angle-of-the-sector-is-60"><b class="normal-text"> 1. Find the area of a sector of a circle with radius 6 cm if angle of the sector is 60°. </b><a class="anchor" href="#1-find-the-area-of-a-sector-of-a-circle-with-radius-6-cm-if-angle-of-the-sector-is-60">#</a></h2> <details> <summary>Answer</summary><div class="markdown-inner book-answer-body"> <div id="geom-1" class="jxgbox" data-geom></div> <script type="application/json" id="geom-1-spec"> { "boundingbox": [-7, 7, 7, -7], "axis": false, "elements": [ {"type": "point", "id": "O", "coords": [0, 0], "name": "O", "options": {"label": {"offset": [-14, -4]}}}, {"type": "circle", "center": "O", "radius": 6, "color": "#2f6fda"}, {"type": "point", "id": "A", "coords": [6, 0], "name": "A", "options": {"label": {"offset": [6, -4]}}}, {"type": "point", "id": "B", "coords": [3, 5.196], "name": "B", "options": {"label": {"offset": [4, 6]}}}, {"type": "segment", "points": ["O", "A"], "color": "#e2733a"}, {"type": "segment", "points": ["O", "B"], "color": "#e2733a"}, {"type": "angle", "points": ["A", "O", "B"], "name": "60°", "options": {"radius": 1.2, "fillColor": "#c44a76"}}, {"type": "text", "coords": [3, -0.4], "text": "6 cm", "options": {"color": "#e2733a", "anchorX": "middle"}} ] } </script> <p>Using Area of sector $= \dfrac{\theta}{360°} \times \pi r^2$, we find the area: </p>