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# In the figure above, AB is an arc of a circle with center O. If the le

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Math Expert
Joined: 02 Sep 2009
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In the figure above, AB is an arc of a circle with center O. If the le  [#permalink]

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10 Jan 2019, 02:21
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Difficulty:

35% (medium)

Question Stats:

75% (02:36) correct 25% (01:53) wrong based on 18 sessions

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In the figure above, AB is an arc of a circle with center O. If the length of arc AB is 5π and the length of CB is 4, what is the sum of the areas of the shaded regions?

A. 25π — 60
B. 25π — 48
C. 25π — 36
D. 100π — 48
E. 100π — 36

Attachment:

2019-01-10_1318.png [ 9.49 KiB | Viewed 307 times ]

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Re: In the figure above, AB is an arc of a circle with center O. If the le  [#permalink]

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10 Jan 2019, 05:36
Bunuel wrote:

In the figure above, AB is an arc of a circle with center O. If the length of arc AB is 5π and the length of CB is 4, what is the sum of the areas of the shaded regions?

A. 25π — 60
B. 25π — 48
C. 25π — 36
D. 100π — 48
E. 100π — 36

Attachment:
2019-01-10_1318.png

from the given info:
2*pi*r *1/4 = 5 *pi
r = 10
for the given figure which is at 90* the point OD = radius = 10 and CD= 8
rectangle has dimension 8 & 6 area = 48

area of the semicircle with radius 10 would be pi * r^2 /4 = pi * 100/4 = 25 pi
area of the shaded part = 25pi-48 ; IMO B
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Re: In the figure above, AB is an arc of a circle with center O. If the le   [#permalink] 10 Jan 2019, 05:36
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