Circle A has a center at #(2 ,2 )# and an area of #18 pi#. Circle B has a center at #(13 ,6 )# and an area of #27 pi#. Do the circles overlap?
1 Answer
Oct 27, 2016
There is no Overlap
Explanation:
so we have two circles,
A, with centre
B, with centre
We will work with A first
Now B,
so if they overlap the distance between the centres of the circles will be less than the two radii.
Distance between the two circles,
Using Pythagoras theorem,
Distance =
Now to find out,
To overlap this must be true,
This is not true so there is no Overlap.
Visually,
The line f is longer than the two radii combined.