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# If the circumference of circle R is 2π inches longer than the circumfe

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Joined: 02 Sep 2009
Posts: 50544
If the circumference of circle R is 2π inches longer than the circumfe  [#permalink]

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14 Nov 2017, 00:12
1
00:00

Difficulty:

35% (medium)

Question Stats:

87% (01:07) correct 13% (02:38) wrong based on 30 sessions

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If the circumference of circle R is 2π inches longer than the circumference of circle Q, the radius of R is how many inches longer than the radius of Q?

(A) 1/2π
(B) 1
(C) 4/π
(D) 2
(E) 2π

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If the circumference of circle R is 2π inches longer than the circumfe  [#permalink]

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14 Nov 2017, 01:18
1
Bunuel wrote:
If the circumference of circle R is 2π inches longer than the circumference of circle Q, the radius of R is how many inches longer than the radius of Q?

(A) 1/2π
(B) 1
(C) 4/π
(D) 2
(E) 2π

Ler Radius of the Q = r

i.e. Circumference of Q = 2πr
i.e. Circumference of R = 2πr+2π = 2π(r+1)

i.e. Radius of R is 1 inch greater than radius of Q

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Re: If the circumference of circle R is 2π inches longer than the circumfe  [#permalink]

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14 Nov 2017, 03:14
B.1

Let the radius of circle R=r and Q=q

As per question
2.pi.r= 2.pi.q+2.pi
Solving
r=q+1

Hence B.1

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If the circumference of circle R is 2π inches longer than the circumfe  [#permalink]

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14 Nov 2017, 04:38
Bunuel wrote:
If the circumference of circle R is 2π inches longer than the circumference of circle Q, the radius of R is how many inches longer than the radius of Q?

(A) 1/2π
(B) 1
(C) 4/π
(D) 2
(E) 2π

Let circumference of R =
$$4\pi$$ inches = $$\pi*2r$$ in
$$4$$ in = $$2r$$ in
$$r = 2$$ inches

Let circumference of Q =
$$(4\pi - 2\pi)$$ in = $$2\pi$$ in
$$2\pi$$ in = $$\pi*2r$$ in
$$2$$ = $$2r$$ in
$$r = 1$$ inch

Radius of R is (2 - 1) = 1 inch longer than radius of Q.

If the circumference of circle R is 2π inches longer than the circumfe &nbs [#permalink] 14 Nov 2017, 04:38
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