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# The circle has center O and radius 1

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The circle has center O and radius 1 [#permalink]  14 May 2018, 13:35
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100% (00:34) correct 0% (00:00) wrong based on 4 sessions
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The circle has center O and radius 1

 Quantity A Quantity B The area of the shaded region $$\frac{\pi}{2}$$

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Kudos [?]: 466 [1] , given: 83

Re: The circle has center O and radius 1 [#permalink]  15 May 2018, 08:50
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Since the adjacent portion to the shaded region has angle 90 degree we can be certain that the shaded region with center o would also be 90 degree; angles in a straight line add to 90 degrees

we can get the area of the shaded portion by $$\frac{90}{360} * pi * r^2$$
this way we will only compute the area for 90 degree portion of the circle.
we know radius = $$1$$ hence the area of shaded region would be $$\frac{1}{4} pi$$
$$1/4 pi$$ < $$1/2 pi$$
option B
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This is my response to the question and may be incorrect. Feel free to rectify any mistakes

Re: The circle has center O and radius 1   [#permalink] 15 May 2018, 08:50
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