Question

The perimeter of a circular field is 242 m. The area of the field is

पर्याय

• 9317 m²

• 18634 m²

• 4658.5 m²

•  none of these

Answer 1

 4658.5 m²

Let the radius be r m.

We know:

Perimeter of a circle = 2πr

Thus, we have ;

2πr = 242

`⇒ 2 × 22/7xx"r"=242`

`=> 44/7xx"r"=242`

`⇒  r = (242×7/44)`

`⇒ r = 77/2`

∴ Area of the circle = πr²

`=(22/7xx77/2xx77/2)"m"^2`

= 4658.5 m²