# Circle A has a center at #(1 ,8 )# and an area of #18 pi#. Circle B has a center at #(8 ,1 )# and an area of #45 pi#. Do the circles overlap?

##### 1 Answer

Nov 21, 2016

The circles overlap

#### Explanation:

Circle A

So,

Circle B

So,

The distance between the centers of the circles

The sum of the radii

Therefore,

So, the circles overlap

The equations of the circles are

graph{((x-1)^2+(y-8)^2-18)((x-8)^2+(y-1)^2-45)=0 [-22.45, 23.15, -5.73, 17.09]}