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

Asked by Topperlearning User | 31st Aug, 2017, 01:41: PM

Expert Answer:

 
begin mathsize 12px style Let space the space radius space of space the space park space be space equals space straight r space straight m
Its space circumference space equals 2 πr
2 πr equals 352
straight r equals 56 space straight m
Thus comma space inner space radius space is space equals space 56 space straight m
outer space radius space is space equals space 56 plus 7 equals 63 space straight m
Area space of space the space road equals Area space of space the space outer space circle minus area space of space the space inner space circle
equals straight pi open square brackets 63 squared minus 56 squared close square brackets
equals 2618 space straight m squared
Hence comma space area space of space the space road equals 2618 space straight m squared end style

Answered by  | 31st Aug, 2017, 03:41: PM