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

Let the radius if circular field be r

Perimeter of circular field = 2πr

Perimeter of circular field = 242 m

⇒ 2πr = 242 m

⇒ 2 × 22/7 × r = 242 m

⇒ r = 242 × 1/2 × 7/22 = 38.5 m

∴ Radius of circular field = 38.5 m

Area of the field = πr²

= 22/7 × 38.5² m²

= 22/7 × 1482.5 m² = 4658.5 m²

∴ Area of the field = 4658.5 m²