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The figure below shows infinitely many nested concentric circles. Each circle has twice the area

of the next smaller circle. (Equivalently, each circle has half the area of the next larger circle). The outermost circle has a radius of 1. If the rings are alternately colored gray - white - gray - white... what is the total area of the all the gray rings?

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SidKemp profile image95

Best Answer Sid Kemp (SidKemp) says

3 years ago
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DreamerMeg profile image88

DreamerMeg says

3 years ago
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    TR Smith (calculus-geometry) 3 years ago

    I think you have the seed of a good idea here. Perhaps compare the size of each gray ring to the next smaller white ring.

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