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# A round mirror, radius 5*2^(1/2), is encircled by a frame of uniform .

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Math Expert
Joined: 02 Sep 2009
Posts: 58464
A round mirror, radius 5*2^(1/2), is encircled by a frame of uniform .  [#permalink]

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02 Sep 2018, 23:25
00:00

Difficulty:

25% (medium)

Question Stats:

86% (01:19) correct 14% (00:38) wrong based on 17 sessions

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A round mirror, radius $$5\sqrt{2}$$, is encircled by a frame of uniform width. If the circumference of the frame is 20π, what is the area of the frame?

A. $$375\pi$$

B. $$200\pi$$

C. $$100\pi$$

D. $$75\pi$$

E. $$50\pi$$

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Re: A round mirror, radius 5*2^(1/2), is encircled by a frame of uniform .  [#permalink]

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03 Sep 2018, 00:45
Bunuel wrote:
A round mirror, radius $$5\sqrt{2}$$, is encircled by a frame of uniform width. If the circumference of the frame is 20π, what is the area of the frame?

A. $$375\pi$$

B. $$200\pi$$

C. $$100\pi$$

D. $$75\pi$$

E. $$50\pi$$

Circumference of Frame = 2πR = 20π

i.e. Radius of frame = R = 10

Area of Frame = Area of bigger circle - Area of smaller circle = π(R^2-r^2) = π(10^2 - 5√2^2) = π(100-50) = 50π

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Re: A round mirror, radius 5*2^(1/2), is encircled by a frame of uniform .   [#permalink] 03 Sep 2018, 00:45
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