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# If the area of the circle with center O is 100pi and AC has a length

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Math Expert
Joined: 02 Sep 2009
Posts: 58411
If the area of the circle with center O is 100pi and AC has a length  [#permalink]

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15 Mar 2018, 23:50
00:00

Difficulty:

15% (low)

Question Stats:

91% (01:07) correct 9% (01:32) wrong based on 30 sessions

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If the area of the circle with center O is $$100\pi$$ and CA has a length of 6, what is the length of AB ?

A. 2
B. 3
C. 4
D. 5
E. 6

Attachment:

2018-03-16_1011_001.png [ 10.89 KiB | Viewed 528 times ]

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Math Expert
Joined: 02 Sep 2009
Posts: 58411
Re: If the area of the circle with center O is 100pi and AC has a length  [#permalink]

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15 Mar 2018, 23:50
Bunuel wrote:

If the area of the circle with center O is $$100\pi$$ and CA has a length of 6, what is the length of AB ?

A. 2
B. 3
C. 4
D. 5
E. 6

Attachment:
2018-03-16_1011_001.png

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Joined: 09 May 2015
Posts: 5
Re: If the area of the circle with center O is 100pi and AC has a length  [#permalink]

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16 Mar 2018, 00:20
Given:Area of the circle=100 pi. Pi*r2=100pi or r=10.
Now, OC=OB=r=10,AC=6 and by using Pythagorean formula in triangle AOC, OC^2=AC^2+AO^2 and AO=8
AB=OB-OA,10-8=2
Re: If the area of the circle with center O is 100pi and AC has a length   [#permalink] 16 Mar 2018, 00:20
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