# A square and an equilateral triangle have the same perimeter. Let A be the area of the circle circumscribed about the square and B be the area of the circle cicumscribed about the triangle. Then #A/B=?#

##### 1 Answer

Jul 29, 2018

Let the common perimeter be

So each side of the square

And the circumradius of the square

So the area of the circle circumscribed about the square will be

Each side of the triangle will be

Its height

The circumradius of the triangle

So area of the circle cicumscribed about the triangle.

Hence the ratio