Question

if the perimeter of a square is equal to the radius of a circle whose area is 39424 sq. cm, what is the area of the square

Answer 1

Let radius of circle be R cm.

Area of circle = 39424

πR² = 39424

R² × 22/7 = 39424

R² = ( 39424 × 7 /22 )

R² = 12544

R = √12544

R = 112 cm.

Radius of circle ( R ) = 112 cm.


__________________________.


Given that : Perimeter of square is equal to the Radius of circle whose area is 39424 cm².


Therefore,



Perimeter of circle = 112 cm.


4 × Side = 112

Side = 28 cm


__________________________

Area of square = (Side)²

=> (28)² cm²

=> 784 cm².

Answer 2

As area of the circle is 39424sq.cm, therefore radius is equal to 12544( square of 112)

So length of the side of square is 112 and area of square is equal to the length of the radius (that is 12544)

i hope this answer will be useful.....