A garden sprinkler wets a sector of a circle of radius making an angle of at the centre

MATHEMATICS · Single correct · CBSE · Mathematics · Areas Related to Circles · Areas Related to Circles

Problem

A garden sprinkler wets a sector of a circle of radius

4\,\text{m}

making an angle of

90^{\circ}

at the centre. Taking

\pi = 3.14

, calculate the area of the ground watered in one full rotation of the sprinkler head. (a)

25.12\,\text{m}^2

(b)

48\,\text{m}^2

(c)

50.24\,\text{m}^2

(d)

12.56\,\text{m}^2