Question

A goat is tied to a pole fixed at the
mid-point of the length of a rectangular
grassy field of dimensions 60 m x 30 m
by means of a 21 m long rope. Find the
area of the field that is grazed by the goat.
​

Answer 1

Step-by-step explanation:

The goat can grassy max. area shown by the quarter circle with radius 21m.

$\sf \: Area \: grazed \: by \: goat = \frac{\pi {r}^{2} }{4} = \frac{ \frac{22}{7} \times 21 \times 21}{4} \\ \sf \: = 346.5 {m}^{2} \\ \sf \red{ Hence, \: area \: grazed \: by \: goat = 346.5m ^ 2 .}$