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# What is the ratio of the area of the sector AOB to the area of the sec

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Math Expert
Joined: 02 Sep 2009
Posts: 55277
What is the ratio of the area of the sector AOB to the area of the sec  [#permalink]

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11 Sep 2018, 03:00
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Question Stats:

100% (01:25) correct 0% (00:00) wrong based on 8 sessions

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What is the ratio of the area of the sector AOB to the area of the sector COD, if the length of AC is one third of the length of OD?

A. 9 : 16
B. 3 : 2
C. 9 : 4
D. 4 : 3
E. 16 : 9

Attachment:

image048.jpg [ 2.38 KiB | Viewed 335 times ]

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Re: What is the ratio of the area of the sector AOB to the area of the sec  [#permalink]

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11 Sep 2018, 03:08
Ratio of the radii of OC:OA = 3:4

Area of the sector of COD = $$\frac{60}{360}$$Pi*9

Area of the sector of AOB = $$\frac{60}{360}$$Pi*16

Ratio becomes 16:9

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Re: What is the ratio of the area of the sector AOB to the area of the sec   [#permalink] 11 Sep 2018, 03:08
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