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# If P and Q are sectors in two different circles, what is the arc measu

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Math Expert
Joined: 02 Sep 2009
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If P and Q are sectors in two different circles, what is the arc measu  [#permalink]

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30 Aug 2018, 04:57
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Difficulty:

35% (medium)

Question Stats:

76% (00:58) correct 24% (00:17) wrong based on 19 sessions

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If P and Q are sectors in two different circles, what is the arc measure of the sector with the smaller area?

(1) The sum of the angles enclosed by each sector is 180 degrees.
(2) The sum of their areas is 200π.

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If P and Q are sectors in two different circles, what is the arc measu  [#permalink]

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30 Aug 2018, 05:34
Bunuel wrote:
If P and Q are sectors in two different circles, what is the arc measure of the sector with the smaller area?

(1) The sum of the angles enclosed by each sector is 180 degrees.
(2) The sum of their areas is 200π.

Question : what is the arc measure of the sector with the smaller area?

Statement 1: The sum of the angles enclosed by each sector is 180 degrees.

Sum of the angles neither tells us which sector has greater area nor dies it tell us about how much angle is shared by each sector hence

NOT SUFFICIENT

Statement 2: The sum of their areas is 200π.

No way to find areas of the sectors and also, angles shared by them at the centre of sectors hence

NOPT SUFFICIENT

Combining the two statements

Neither do we know the angles that those sectors are making at their centres
nor do we know what is the radius/angle of either of the sector to find out any specification about any sector hence

NOT SUFFICIENT

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If P and Q are sectors in two different circles, what is the arc measu   [#permalink] 30 Aug 2018, 05:34
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