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# If the circumference of circle P is 15.174 and the circumference of

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Math Expert
Joined: 02 Sep 2009
Posts: 50571
If the circumference of circle P is 15.174 and the circumference of  [#permalink]

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14 Nov 2017, 22:42
00:00

Difficulty:

35% (medium)

Question Stats:

80% (01:31) correct 20% (01:36) wrong based on 45 sessions

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If the circumference of circle P is 15.174 and the circumference of circle Q is 6.28, then the diameter of circle P minus the diameter of circle Q is approximately equal to

(A) 1.5
(B) 3.0
(C) 5.5
(D) 9.0
(E) 9.4

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Joined: 05 Dec 2016
Posts: 244
Concentration: Strategy, Finance
GMAT 1: 620 Q46 V29
Re: If the circumference of circle P is 15.174 and the circumference of  [#permalink]

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14 Nov 2017, 23:48
P-Q=15,174/6,28 - 6,28/6,28~(15-6)/6~1,5
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Re: If the circumference of circle P is 15.174 and the circumference of  [#permalink]

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15 Nov 2017, 00:08
1
Bunuel wrote:
If the circumference of circle P is 15.174 and the circumference of circle Q is 6.28, then the diameter of circle P minus the diameter of circle Q is approximately equal to

(A) 1.5
(B) 3.0
(C) 5.5
(D) 9.0
(E) 9.4

Let x be the radius of the circle P and y the radius of the circle Q.

2 * Pi * x = 15.174
2 * Pi * y = 6.28

2x - 2y = 1/Pi * (15.174 - 6.28) = 8.894/3.14 which is approximately 3

Therefore, the difference in diameters of both the circle is 3.0(Option B)
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Joined: 05 Dec 2016
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GMAT 1: 620 Q46 V29
Re: If the circumference of circle P is 15.174 and the circumference of  [#permalink]

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15 Nov 2017, 00:24
pushpitkc wrote:
Bunuel wrote:
If the circumference of circle P is 15.174 and the circumference of circle Q is 6.28, then the diameter of circle P minus the diameter of circle Q is approximately equal to

(A) 1.5
(B) 3.0
(C) 5.5
(D) 9.0
(E) 9.4

Let x be the radius of the circle P and y the radius of the circle Q.

2 * Pi * x = 15.174
2 * Pi * y = 6.28

2x - 2y = 1/Pi * (15.174 - 6.28) = 8.894/3.14 which is approximately 3

Therefore, the difference in diameters of both the circle is 3.0(Option B)

You're correct. I've messed up with radius and diameter
Re: If the circumference of circle P is 15.174 and the circumference of &nbs [#permalink] 15 Nov 2017, 00:24
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