Question

The circumference of a circle is equal to the perimeter of a square. The area of the square is 484 sq. m. Find the area of the circle. 

Answer 1

Area of the square = 484 m² 

Side of the square = `sqrt 484` = 22 m

Perimeter of the square = 4 x 22 = 88m 

Perimeter of square = circumference of circle

2 π r = 88 

r = `88 xx 7/22 xx 1/2`

r = 14 m

Radius of circle = 14 m

Area of the drde = πr² 

`= 22/7 xx 14 xx 14`

= 616 m²

Hence, area of the circle = 616 m²