# Circle A has a center at #(2 ,2 )# and an area of #8 pi#. Circle B has a center at #(13 ,6 )# and an area of #54 pi#. Do the circles overlap?

##### 1 Answer

May 29, 2016

No, they don't overlap.

#### Explanation:

I start calculating the radius of the two circles.

We know that

The radius of the circles, that I will call respectively

If the distance between the two centers is bigger than the sum of the two radius, the two circles will not overlap, otherwise they will overlap.

The distance between the two centers is

The sum of the two radius is