Circle A has a center at (2 ,3 ) and an area of 72 pi. Circle B has a center at (14 ,5 ) and an area of 48 pi. Do the circles overlap?
1 Answer
Nov 22, 2016
Yes
Explanation:
The area of the first circle is
The area of the second circle is
The distance between the centres of the circles is found using Pythagoras.
The distance between the x coordinates is 12.
The distance between the y coordinates is 2
Draw the triangle . The length of the hypotenuse is
=
If the circles did not overlap the the distance between their centres would have to be greater than the sum of the radii.
It is less so the circles overlap.