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If P and Q are sectors in two different circles such that the area of

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If P and Q are sectors in two different circles such that the area of  [#permalink]

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New post 17 Sep 2018, 21:15
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If P and Q are sectors in two different circles such that the area of P is greater than the area of Q, is the perimeter of P greater than that of Q?

(1) The radius of P is twice that of Q.
(2) The angles in both sectors are equal.

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If P and Q are sectors in two different circles such that the area of  [#permalink]

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New post Updated on: 25 Sep 2018, 22:08
Bunuel wrote:
If P and Q are sectors in two different circles such that the area of P is greater than the area of Q, is the perimeter of P greater than that of Q?

(1) The radius of P is twice that of Q.
(2) The angles in both sectors are equal.


Question : Is \((Angle_1/360)*2πp > (Angle_2/360)*2πq\)?


Statement 1: The radius of P is twice that of Q.
i.e. angles are unknown for the two sectors hence the comparison can't be established

NOT SUFFICIENT

Statement 2: The angles in both sectors are equal.
i.e. area of P is greater than the area of Q
i.e. \((Angle/360)πp^2 > (Angle/360)πq^2\)
i.e. \(p^2 > q^2\) where p and q are the radius of circle P and Q respectively
i.e. p > q
SUFFICIENT

Answer:option B
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Originally posted by GMATinsight on 18 Sep 2018, 00:53.
Last edited by GMATinsight on 25 Sep 2018, 22:08, edited 1 time in total.
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Re: If P and Q are sectors in two different circles such that the area of  [#permalink]

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New post 25 Sep 2018, 21:01
GMATinsight OA is B
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Re: If P and Q are sectors in two different circles such that the area of  [#permalink]

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New post 25 Sep 2018, 21:51
Bunuel wrote:
If P and Q are sectors in two different circles such that the area of P is greater than the area of Q, is the perimeter of P greater than that of Q?

(1) The radius of P is twice that of Q.
(2) The angles in both sectors are equal.


Let angle sector P be A and sector Q be B
radius sector P= P and sector Q =Q
Given: p^2/Q^2> B/A
Questions asks if P/Q> B/A?
Statement 1: P=2Q
This gives : 4A>B
Question asks if 2A>B
Insufficient
Statement 2: A=B
This tells us directly P=Q
Sufficient
B
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Re: If P and Q are sectors in two different circles such that the area of &nbs [#permalink] 25 Sep 2018, 21:51
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If P and Q are sectors in two different circles such that the area of

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