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GRE Math Challenge #45- O is the center of the circle
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sandy
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Joined: 07 Jun 2014
Posts: 4805
GRE 1: Q167 V156
WE:Business Development (Energy and Utilities)
GRE Math Challenge #45- O is the center of the circle [#permalink] New post  28 Apr 2015, 12:15
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O is the center of the circle and the perimeter of AOB is 6.

Quantity A: The circumference of the Circle.

Quantity B: 12

• Quantity A is greater.
• Quantity B is greater.
• Both Quantities are Equal
• Cannot be determined
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Peter
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Re: GRE Math Challenge #45- O is the center of the circle [#permalink] New post  11 Mar 2018, 06:40
sandy wrote:
Image

O is the center of the circle and the perimeter of AOB is 6.

Quantity A: The circumference of the Circle.

Quantity B: 12

• Quantity A is greater.
• Quantity B is greater.
• Both Quantities are Equal
• Cannot be determined


In this problem, we can know that OA and OB are both the radius of the circle, and <AOB=60。

then can know triangle is equilateral triangle. Since its perimeter is 6, then we can know that the length of OA and OB would be 2.

then the circumference of the circle is 12pi which is bigger then 12.

Thus A>B
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