Question

A road which is 7 m wide surrounds a circular park whose circumference  is 352 m . Find the area of the road .

Answer 1

Width of the road = 7 m
circumference of the circular park = 352 m

`⇒ 2pir=352` 

`⇒ r=352/2pi=56 m`

Area of the road = Area of the circular park including the path − area of the circular park 

`=pi(r+7)^2-pir^2`

`=pi[(56+7)^2-(56)^2]`

`= pi[63^2-56^2]`

`=pi[7xx119]`

`= 2618 m^2`