# How do you find the circumference of a circle circumscribed about a square with perimeter 40 in?

##### 1 Answer

Nov 9, 2016

#### Answer:

Perimeter of circle circumscribed about the square would be **in** .

#### Explanation:

As all the sides of a square are equal,

if its perimeter is **in**.

Now look at the following figure of a circle circumscribed about a square

If the radius of a circle is

Now as side of square is

and perimeter of a circle of radius

perimeter of circle circumscribed about the square would be

= **in** .