Crazy Circles

Geometry Level pending

The two circles are concentric (have same center). The length of the chord tangent to the smaller circle is equal to 20 mm. What is the area of the ring between the two circles?

100 10Pi 100 Pi 10√10Pi

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1 solution

Aarthi Aiyappan
Sep 14, 2016

Let r be the radius of the small circle and R be the radius of the bigger circle. R^2 = r^2 + 10^2 (By Pythagora's theorem) π(R2 - r2) = 100π + area of ring

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