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# A circular region has circumference c inches and area k square inches.

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Math Expert
Joined: 02 Sep 2009
Posts: 50007
A circular region has circumference c inches and area k square inches.  [#permalink]

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14 Nov 2017, 23:49
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Difficulty:

25% (medium)

Question Stats:

85% (01:06) correct 15% (02:13) wrong based on 32 sessions

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A circular region has circumference c inches and area k square inches. If c = 3k, what is the radius of the circle in inches?

(A) √2/3
(B) √(2/3)
(C) 2/3
(D) 4π/9
(E) 2π/3

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A circular region has circumference c inches and area k square inches.  [#permalink]

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15 Nov 2017, 04:54
Bunuel wrote:
A circular region has circumference c inches and area k square inches. If c = 3k, what is the radius of the circle in inches?

(A) √2/3
(B) √(2/3)
(C) 2/3
(D) 4π/9
(E) 2π/3

In square inches and inches:
area = $$\pi*r^2 = k$$
circumference = $$\pi*2r= c$$
circumference = $$3k$$
$$c = 3k$$

$$\pi*2r = 3*(\pi*r^2)$$
$$\pi*2r = 3\pi*r^2$$
$$2 = 3r$$
$$r = \frac{2}{3}$$

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A circular region has circumference c inches and area k square inches. &nbs [#permalink] 15 Nov 2017, 04:54
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