Question

The perimeter of a circular and another square field are equal.Find the area in sq.M of the circulr field if the area of the square field is 484 sq.M

Answer 1

Area of the square = L² since it has equal sides.

Now :

484 = l²

l = √484

= 22 M

The perimeter of the square = 4l

= 4 × 22 = 88 m

perimeter of a circle = πD

π = 22/7

Now :

Perimeter of circle = Perimeter of square

88 = 22/7D

D = 88 × 7/22 = 28 m

d = diameter

area of a circle = πr²

r = 28/2 = 14 m

Area of the circle = 22/7 × 14² = 616 m²