Circle A has a center at #(12 ,9 )# and an area of #16 pi#. Circle B has a center at #(3 ,1 )# and an area of #67 pi#. Do the circles overlap?
First we need to find the radii of the circles. We can do this using the formula for area:
We now find the distance between the centres. We can use the distance formula for this:
Sum of radii:
This shows the circles intersect at two points.