Bunuel wrote:

In the figure above the square has two sides which are tangent to the circle. If the area of the circle is 4a²π, what is the area of the square?

A. 2a²

B. 4a

C. 4a²

D. 16a²

E. 64a²

The area of the circle is 4a²πArea of circle = π(

radius)²

= 4a²π

= π4a²

= π(

2a)²

So, the radius =

2aThis means the diameter =

4a (diameter is TWICE the radius)

What is the area of the square?Each side of the square has length

4a Area of square = side²

= (

4a )²

= 16a²

= D

Cheers,

Brent

_________________

Brent Hanneson – Founder of gmatprepnow.com