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]}