Question

What is the perimeter of a square which circumscribes a circle of radius a cm?

Answer 1

We know that if a square circumscribes a circle, then the side of the square is equal to the diameter of the circle.

∴ Side of Square = 2a

Now, Perimeter of the square = 4 ⨯ Side of square = 4 ⨯ 2a = 8a cm

Hence, the perimeter of the square is 8a cm.