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

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Founder
Joined: 18 Apr 2015
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O is the center of the two circles and OX = XY = 1 [#permalink]  17 Jun 2018, 09:36
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Question Stats:

83% (00:38) correct 16% (00:27) wrong based on 30 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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Manager
Joined: 02 May 2018
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Kudos [?]: 30 [0], given: 22

Re: O is the center of the two circles and OX = XY = 1 [#permalink]  19 Jun 2018, 15:57
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.
Director
Joined: 09 Nov 2018
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Re: O is the center of the two circles and OX = XY = 1 [#permalink]  19 Jan 2019, 13:38
ox=xy and oy ==2ox

now A=B
Re: O is the center of the two circles and OX = XY = 1   [#permalink] 19 Jan 2019, 13:38
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