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O is the center of the two circles and OX = XY = 1

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O is the center of the two circles and OX = XY = 1 [#permalink] New post 17 Jun 2018, 09:36
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Question Stats:

66% (00:44) correct 33% (00:27) wrong based on 15 sessions
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O is the center of the two circles and \(OX = XY = 1\)

Quantity A
Quantity B
Half the circumference of the large circle
The circumference of the smaller circle


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: O is the center of the two circles and OX = XY = 1 [#permalink] New post 19 Jun 2018, 15:57
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For this question, you are given that O is the center of both circles and OX = XY = 1.
With the givens, this means that OY = 2, which is important since the question is asking for circumferences, which requires radii in the calculation.

Quantity A:\(\frac{2pi*OY}{2}\)
Quantity B:\(2pi*OX\)

Quantity A:\(pi*OY\)
Quantity B:\(2pi*OX\)

Here we substitute OY for 2 and OX for 1

Quantity A:\(2pi\)
Quantity B:\(2pi\)

Quantity A is equivalent to Quantity B.
The answer is C.
Re: O is the center of the two circles and OX = XY = 1   [#permalink] 19 Jun 2018, 15:57
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O is the center of the two circles and OX = XY = 1

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