Question

Corners of a square are on a circle. If length of one side of a square is 10 cm, find the perimetre of the circle?

Answer 1

Given : -  side of square (a) = 10 cm

Since the corers of square are on circumference of the circle the diagonal of the square will be the diameter of the circle.

lenth of the diagonal of the square = √2 a = 10√2 cm

⇒ diameter of the circle (D) = 10√2 cm

Now perimeter of the circle (P) = 2πR = πD

⇒ P = π x 10√2

∴ P = 44.428 cm