NCERT Solutions for Class 10 Science Chapter 12

Important NCERT Questions

Areas Related To Circles Class,

NCERT Books for Session 2022-2023

CBSE Board and UP Board Others state Board

EXERCISE 12.2

Page No:230

Questions No:8

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 Find

(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)

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The shape of grass field, where the horse can graze is a sector with central angle 90°.

(i) The area of the field, where the horse can graze

= Area of sector OABO with radius 5

= 90°/360° × πr² = 1/4 × (5)²

= 1/4 × 3.14 × 25 = 19.625 m²

(ii) If the rope were 10 m long instead of 5 m, the area of field where the horse can graze = Area of sector 0ABO with radius 10

= 90°/360° × πr² = 1/4 × (10)²

= 1/4 × 3.14 × 100 = 78.50 m²

The increase in grazing area = (78.50 – 19.625) m² = 58.875 m²