Posted by **Liz** on Tuesday, December 10, 2013 at 9:46pm.

three circles are manually tangent externally. their centers form a triangle whose sides are of length 8, 9, 13. find the total area of the three circles

- Math. I really don't get this question -
**Steve**, Tuesday, December 10, 2013 at 11:24pm
If the radii of the circles are x,y,z then each side of the triangle is the sum of two of the radii. So,

x+y=8

x+z=9

y+z=13

(x,y,z) = (2,6,7)

Since the area of a circle is πr^2, the area of all of the circles is

π(2^2+6^2+7^2) = 89π

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