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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] New post 14 May 2018, 13:35
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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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Re: The circle has center O and radius 1 [#permalink] New post 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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Re: The circle has center O and radius 1   [#permalink] 15 May 2018, 08:50
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The circle has center O and radius 1

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