SOLUTION: Please help me solve this problem: Two circles have their centers at (2, 4) and (-14, 2) and they intersect at the point (-2, 7). What is the radius of each circle?

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Question 472456: Please help me solve this problem: Two circles have their centers at (2, 4) and (-14, 2) and they intersect at the point (-2, 7). What is the radius of each circle?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Please help me solve this problem: Two circles have their centers at (2, 4) and (-14, 2) and they intersect at the point (-2, 7). What is the radius of each circle?
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The radius is the distance from the center to the point (-2,7).
From (2,4) to (-2,7):
d+=+sqrt%28diffy%5E2+%2B+diffx%5E2%29+=+sqrt%284%5E2+%2B+3%5E2%29
r = 5
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For the other one:
d+=+sqrt%28diffy%5E2+%2B+diffx%5E2%29+=+sqrt%2812%5E2+%2B+5%5E2%29
r = 13