Question

A square drawn inside a circle so that its vertices touch the circle. If the is radius of the circle is 15 cm, what is the perimeter of the square?

Answer 1

`60sqrt2`

Explanation:

Let `s` be the side of the square.

By Pythagorean theorem, we get :

`(2r)^2=s^2+s^2`
`=> s=rsqrt2`

Given `r=15`,
`=> s=15sqrt2`

`=>` perimeter `=4s =4xx15sqrt2=60sqrt2`