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

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New post 10 Jan 2019, 02:21
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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
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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New post 10 Jan 2019, 05:36
Bunuel wrote:
Image
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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