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Math Expert V
Joined: 02 Sep 2009
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A semicircle of diameter 1 sits at the top of a semicircle of diameter  [#permalink]

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Question Stats: 33% (02:53) correct 67% (03:12) wrong based on 6 sessions

### HideShow timer Statistics A semicircle of diameter 1 sits at the top of a semicircle of diameter 2, as shown. The shaded area inside the smaller semicircle and outside the larger semicircle is called a lune. Determine the area of this lune.

(A) $$\frac{\pi}{6} - \frac{\sqrt{3}}{4}$$

(B) $$\frac{\sqrt{3}}{4} - \frac{\pi}{12}$$

(C) $$\frac{\sqrt{3}}{4} - \frac{\pi}{24}$$

(D) $$\frac{\sqrt{3}}{4} + \frac{\pi}{24}$$

(E) $$\frac{\sqrt{3}}{4} + \frac{\pi}{12}$$

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Re: A semicircle of diameter 1 sits at the top of a semicircle of diameter  [#permalink]

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Bunuel wrote: A semicircle of diameter $1$ sits at the top of a semicircle of diameter $2$, as shown. The shaded area inside the smaller semicircle and outside the larger semicircle is called a lune. Determine the area of this lune.

(A) $$\frac{\pi}{6} - \frac{\sqrt{3}}{4}$$

(B) $$\frac{\sqrt{3}}{4} - \frac{\pi}{12}$$

(C) $$\frac{\sqrt{3}}{4} - \frac{\pi}{24}$$

(D) $$\frac{\sqrt{3}}{4} + \frac{\pi}{24}$$

(E) $$\frac{\sqrt{3}}{4} + \frac{\pi}{12}$$

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