Circle A has a center at #(5 ,4 )# and an area of #54 pi#. Circle B has a center at #(12 ,8 )# and an area of #25 pi#. Do the circles overlap?
1 Answer
Nov 8, 2016
Two circles overlap (intersect) each other.
Explanation:
Circle A has a center at
Circle B has a center at
Sum of the radii is
The distance between centers is
The distance between centers at
Hence, two circles intersect each other. For details see here
graph{(x^2+y^2-10x-8y-13)(x^2+y^2-24x-16y+183)=0 [-13.92, 26.08, -4.96, 15.04]}