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grkmurthy
Senior Consultant


Joined: 14 Oct 2007
Posts: 37
PostPosted: Fri Nov 09, 2007 10:13 am    Post subject: Geometry Reply with quote
The area of a circle with its center at O is 36pi. What is the length of the arc on the circle forming an angle of 30˚ at the center?

(1) pi
(2) 2pi/3
(3) 2pi
(4) pi/6
(5) 6pi

Last edited by grkmurthy on Mon Nov 19, 2007 11:00 am; edited 1 time in total
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ksb
GMAT Tutor


Joined: 28 Dec 2004
Posts: 54
Location: Chennai, India
PostPosted: Sat Nov 17, 2007 2:07 pm    Post subject: circumference divided by 12 Reply with quote
Area of a circle is Pi (r^2) = 36 Pi

Therefore, r^2 = 36 or r = 6.

Now, circumference of this circle is Pi (Diameter) = 12 Pi

The total angle covered by the circle is 360 degrees.

The length of the arc that forms an angle of 30 degrees at te center will be 1/12th the length of the circumference

= Pi

Choice 1
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