Question

A path of width 3.5 m runs all around a circular pool having an area of 962.5 m2

. Find the area of

the path.URGENT PLEASE HELP ​

Answer 1

$\bigstar\huge\underline{\underline{Answer:-}}$

$\bigstar\underline{\underline{Given:-}}$

• $Width \ = \ 3.5cm$

• $Area \ = \ 962.5cm^{2}$

$\bigstar\underline{\underline{To \ find:-}}$

• $The \ area \ of \ path$

$\bigstar\underline{\underline{Solution:-}}$

$r_{1}+3.5=r_{2}$

$\pi r_{1}^{2}=962.5m^{2}$

$r_{1}=17.5m$

$\implies r_{2}=21m$

$Area \ of \ path \ = \pi r^{2}_{2}- \pi r^{2}_{1}$

$Area \ of \ path \ = \pi (21)^{2} - 962.5$

$\boxed{\boxed{Area \ of \ path \ = \ 422.94m^{2}}}$