Circle A has a center at (5 ,8 ) and an area of 18 pi. Circle B has a center at (3 ,1 ) and an area of 27 pi. Do the circles overlap?

1 Answer

The circles overlap

Explanation:

the distance from center to center
d=sqrt((x_a-x_b)^2+(y_a-y_b)^2)
d=sqrt((5-3)^2+(8-1)^2)
d=sqrt(4+49)
d=sqrt53=7.28011

The sum of the radii of circle A and B
Sum=sqrt18+sqrt27
Sum=9.43879

Sum of radii>distance between centers
conclusion: the circles overlap

desmos.comdesmos.com

God bless ....I hope the explanation is useful.