Circle A has a center at $(1 ,5 )$ and an area of $24 pi$ . Circle B has a center at $(8 ,4 )$ and an area of $66 pi$ . Do the circles overlap?

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Answer 1 · 2016-03-06T08:41:18

Yes, the circles overlap.

The distance from center of circle A to center of circle B $=5sqrt2=7.071$

The sum of their radii is $=sqrt66+sqrt24=13.023$

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Circle A has a center at (1 ,5 )(1 ,5 ) and an area of 24 pi24 pi. Circle B has a center at (8 ,4 )(8 ,4 ) and an area of 66 pi66 pi. Do the circles overlap?