Question

if circumference of a circle and the perimeter of a square are equal then area of the circle=area of the square.it is true or false​

Answer 1

 

Solution :

Let the radius of the circle be r and side of the square be a.

Then, according to question,

2πr=4a

=> a=2πr4

=πr2 ----(i)

Now, ratio of their areas,

πr2 and a2

=> πr2 and (πr4)2 [From eq(i)]

=> πr2 and π2r24

Therefore, Area of the circle > Area of the square

Answer 2

Answer:

false it is not possible