Perpendicular Circles
Three different circles are all touching each other but not overlapping.
- One circle has center and radius 4,
- and another circle has center and radius 2,
- and another circle has center and radius
Given that is perpendicular to , find .
The answer is 6.
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1 solution
(4+2)^2 + (2+r)^2 = (4+r)^2
36 + 4 + 4r + r^2 = 16 + 8r + r^2
24 = 4r
r = 6