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The figure above contains two circles with center O. If OD = 10 and th

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The figure above contains two circles with center O. If OD = 10 and th  [#permalink]

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New post 01 May 2017, 10:00
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A
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C
D
E

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The figure above contains two circles with center O. If OD = 10 and the area of the shaded region is 36π, what is the area of the smaller circle?

A. 6π
B. 10π
C. 36π
D. 64π
E. 100π

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Re: The figure above contains two circles with center O. If OD = 10 and th  [#permalink]

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New post 01 May 2017, 10:53
If OD is 10, the area of the outer circle is pi*10*10 or 100pi as OD is the radius of the outer circle.

But we also know that the area of the shaded portion is 36pi. From this information we can deduce the area of the inner circle to be the difference between the entire circle's area and the shaded region's area
100pi-36pi = 64pi(Option D)
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Re: The figure above contains two circles with center O. If OD = 10 and th   [#permalink] 01 May 2017, 10:53
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The figure above contains two circles with center O. If OD = 10 and th

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