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In the formula above

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In the formula above [#permalink] New post 29 Dec 2016, 09:28
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Question Stats:

83% (00:49) correct 16% (00:54) wrong based on 6 sessions
\(A=\frac{\pi*d^2}{x}\)

If the formula above gives the area A of a circular region in terms of its diameter d, then x=

(A) \(\frac{1}{4}\)

(B) \(\frac{1}{2}\)

(C) 1

(D) 2

(E) 4
[Reveal] Spoiler: OA

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Re: In the formula above [#permalink] New post 29 Sep 2017, 07:03
The formula for a circular region is \(A=\pi*r^2\). The one given has the diameter instead of the radius, but since we know that d = 2r, we can write

\(\pi*r^2 = \frac{\pi*(2r)^2}{x}\), where d = 2r, then

\(\pi*r^2 = \frac{\pi*4r^2}{x}\).

Thus, in order for the two formulas to be equal, x = 4. Answer E!
Re: In the formula above   [#permalink] 29 Sep 2017, 07:03
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In the formula above

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