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# What is the difference between the circumferences of 2 circles such th

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 4888
GPA: 3.82
What is the difference between the circumferences of 2 circles such th [#permalink]

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09 Feb 2017, 04:24
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Difficulty:

5% (low)

Question Stats:

83% (00:31) correct 17% (00:16) wrong based on 53 sessions

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What is the difference between the circumferences of 2 circles such that the diameters of the circles are 10 and 11?

A. $$\frac{π}{2}$$
B. $$π$$
C. $$3\frac{π}{2}$$
D. $$2π$$
E. $$5\frac{π}{2}$$
[Reveal] Spoiler: OA

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Senior Manager
Joined: 19 Apr 2016
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Re: What is the difference between the circumferences of 2 circles such th [#permalink]

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09 Feb 2017, 04:28
MathRevolution wrote:
What is the difference between the circumferences of 2 circles such that the diameters of the circles are 10 and 11?

A. $$\frac{π}{2}$$
B. $$π$$
C. $$3\frac{π}{2}$$
D. $$2π$$
E. $$5\frac{π}{2}$$

difference between the circumferences of 2 circles such that the diameters of the circles are 10 and 11
= 11$$π$$ - 10$$π$$
= $$π$$

Hence Option B is correct.
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Senior Manager
Joined: 24 Apr 2016
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Re: What is the difference between the circumferences of 2 circles such th [#permalink]

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09 Feb 2017, 13:30
Circumference = π D

Difference = πD1 - πD2 = 11π - 10π = π

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 4888
GPA: 3.82
Re: What is the difference between the circumferences of 2 circles such th [#permalink]

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12 Feb 2017, 17:24
==> The circumference of a circle is $$π$$d, thus $$π(11-10)= π$$.

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Target Test Prep Representative
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Joined: 04 Mar 2011
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Re: What is the difference between the circumferences of 2 circles such th [#permalink]

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13 Feb 2017, 16:08
MathRevolution wrote:
What is the difference between the circumferences of 2 circles such that the diameters of the circles are 10 and 11?

A. $$\frac{π}{2}$$
B. $$π$$
C. $$3\frac{π}{2}$$
D. $$2π$$
E. $$5\frac{π}{2}$$

The circumference of the circle with a diameter of 10 is 10π, and the circumference of the circle with a diameter of 11 is 11π.

Thus, the difference is 11π - 10π = π.

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Re: What is the difference between the circumferences of 2 circles such th   [#permalink] 13 Feb 2017, 16:08
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