Question

If the circumference of a circle and the perimeter ofa square .are equal. then find the :relation between

area of circle and area of square.​

Answer 1

Answer:

Let the radius of the circle ber.

∴ Area of Circle= πr

2

.

and the circumference=2πr

The perimeter of the square is equal to circumference of circle.

∴ Its one side =

4

1

×2πr=

2

πr

.

So Area of Square =(

2

πr

)

2

.

∴

AreaOfSquare

AreaOfcircle

=πr

2

:(

2

πr

)

2

=

π

4

=

22

4×7

=

11

14

>1.

So, Area of Circle > Area of Square