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# If the two circles shown above are concentric with center O, which exp

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Math Expert
Joined: 02 Sep 2009
Posts: 50610
If the two circles shown above are concentric with center O, which exp  [#permalink]

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11 Sep 2018, 01:58
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Difficulty:

25% (medium)

Question Stats:

92% (01:04) correct 8% (00:29) wrong based on 13 sessions

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If the two circles shown above are concentric with center O, which expression represents the area of the region ABDC in terms of the radius of the large circle R and the radius of small circle r and the measure of angle AOB x ?

A. $$\frac{\pi x}{360}(R - r)^2$$

B. $$\frac{\pi 180}{x}(R^2 - r^2)$$

C. $$\frac{\pi 360}{x}(R - r)^2$$

D. $$\frac{\pi 360}{x}(R^2 - r^2)$$

E. $$\frac{\pi x}{360}(R^2 - r^2)$$

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image018.jpg [ 2.41 KiB | Viewed 385 times ]

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If the two circles shown above are concentric with center O, which exp  [#permalink]

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11 Sep 2018, 04:19
Bunuel wrote:

If the two circles shown above are concentric with center O, which expression represents the area of the region ABDC in terms of the radius of the large circle R and the radius of small circle r and the measure of angle AOB x ?

A. $$\frac{\pi x}{360}(R - r)^2$$

B. $$\frac{\pi 180}{x}(R^2 - r^2)$$

C. $$\frac{\pi 360}{x}(R - r)^2$$

D. $$\frac{\pi 360}{x}(R^2 - r^2)$$

E. $$\frac{\pi x}{360}(R^2 - r^2)$$

Attachment:
image018.jpg

Area of region ABDC = Bigger Sector - Smaller sector = $$\frac{\pi x}{360}(R^2 - r^2)$$

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Re: If the two circles shown above are concentric with center O, which exp  [#permalink]

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11 Sep 2018, 05:07
Should be E as no other one is sufficient
Re: If the two circles shown above are concentric with center O, which exp &nbs [#permalink] 11 Sep 2018, 05:07
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# If the two circles shown above are concentric with center O, which exp

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