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# In the figure above, if the area of the circle with center O is 100

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Math Expert
Joined: 02 Sep 2009
Posts: 52343
In the figure above, if the area of the circle with center O is 100  [#permalink]

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11 Jan 2019, 00:15
00:00

Difficulty:

15% (low)

Question Stats:

93% (01:13) correct 7% (01:51) wrong based on 14 sessions

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In the figure above, 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:

2019-01-11_1213.png [ 14.93 KiB | Viewed 159 times ]

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Re: In the figure above, if the area of the circle with center O is 100  [#permalink]

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11 Jan 2019, 02:16
Bunuel wrote:

In the figure above, 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:
2019-01-11_1213.png

pi* r^2 = 100
triangel is 5:4:3 triplet
10:8:6
given CA= 6 so OD = 8 and since OA = 10 AB = 10-8 = 2
IMO A
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Intern
Joined: 03 Dec 2018
Posts: 4
Re: In the figure above, if the area of the circle with center O is 100  [#permalink]

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11 Jan 2019, 02:28
Area of circle = Pi*r^2
r^2 = 100; r=10
OC = OB = 10; AC = 6
Using pythagoras theorem
OA = 8; AB =OB-OA
10-2 = 2, hence (A)

Thanks, I hope u got it !!
Re: In the figure above, if the area of the circle with center O is 100 &nbs [#permalink] 11 Jan 2019, 02:28
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