The Crescent Moon below is formed by two circles, both of which are tangent to each other. The point E is the center of the larger circle. If BH = 9, and AF = GC = 5AF=GC=5, what is the area of the shaded region?
Since FG = 5AF then it's 25, so the diameter of the larger circle is 35.
Thus the radius is 17.5, and the HE is 17.5 - 9 = 8.5
8.5 + radius = 8.5 + 17.5 = 26
26/2 = 13/
The larger circle has area of 17.5 ^2 π, and the smaller one has 169π.
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