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# A circular region has circumference c inches and area k squa

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A circular region has circumference c inches and area k squa [#permalink]  04 Sep 2019, 08:50
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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. $$\frac{\sqrt{2}}{3}$$

B. $$\sqrt{\frac{2}{3}}$$

C. $$\frac{2}{3}$$

D. $$\frac{4 \pi}{9}$$

E. $$\frac{2\pi}{3}$$
[Reveal] Spoiler: OA

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Re: A circular region has circumference c inches and area k squa [#permalink]  07 Sep 2019, 18:48
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Carcass 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. $$\frac{\sqrt{2}}{3}$$

B. $$\sqrt{\frac{2}{3}}$$

C. $$\frac{2}{3}$$

D. $$\frac{4 \pi}{9}$$

E. $$\frac{2\pi}{3}$$

We know,

Circumference of circle =$$2*\pi*{Radius}$$

and Area of the circle = $$\pi*{Radius}^2$$

Since,$$C = 3k$$

or $$2*\pi*Radius = 3 *\pi*{Radius}^2$$

or $$Radius = \frac{2}{3}$$
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Re: A circular region has circumference c inches and area k squa   [#permalink] 07 Sep 2019, 18:48
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