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)
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
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