Question

The radius of a circular field is 20 m. Inside its run a path 5m wide wide all around. find the area of the path.(take π=22/7)​

Answer 1

Given ,

Radius of circular field = 20m

As, we know area of circle formula → πr²

So, Area of circle = (22/7) (20)²

= (22/7)(400)

= 1257.14 m²

Area of circle = 1257.14 m²

If the width of path is 5m then the radius of circle when we remove the path = (20-5)m

= 15m

Area of circle without path ➡

= (22/7)(15)²

=( 22/7)(225)

=707.14 m²

Area of circle without path = 707.14 m²

So, the area of path =>

Area of whole circle - Area of circle without the path

= 1257.14 - 707.14

= 550 m²

Area of the path is 550m²

$\underline{Area \: of \: the \: path \: is \: 550 \: m^2}$