CBSE Class 10 Mathematics Question 11 of 35

Areas Related to Circles — Question Ex 12.2 Q8

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Ex 12.2 Q8
Question

A horse is tied to a peg at one corner of a square shaped grass field of side 15 m by means of a 5 m long rope (see figure). Find:
NCERT Solutions for Class 10 Maths Chapter 12 Areas Related to Circles Ex 12.2 Q8
(i) the area of that part of the field in which the horse can graze.
(ii) the increase in the grazing area if the rope were 10 m long instead of 5 m. (Use π = 3.14)

Answer

Exercise 12.1 Class 10 Maths NCERT Solutions PDF Q8

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CBSE Class 10 Areas Related to Circles — Complete Guide

This chapter carries 4-5 marks and involves calculation of sector areas, segment areas, and combination of plane figures.

Quick Revision: Key Formulae

  • Sector area: (θ/360) × πr²
  • Arc length: (θ/360) × 2πr
  • Segment area: Sector area − Triangle area
  • Combination figures: Decompose into basic shapes, add/subtract

Most Important Questions

  1. Find area of sector and corresponding segment
  2. Shaded region problems (circle in square, etc.)
  3. Flower petal and design problems
  4. Combined figure area calculations

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