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# If the area of a circle in square feet equals its radius in feet, then

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Senior DS Moderator
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If the area of a circle in square feet equals its radius in feet, then  [#permalink]

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02 Jul 2018, 09:03
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Difficulty:

35% (medium)

Question Stats:

67% (01:29) correct 33% (01:26) wrong based on 15 sessions

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If the area of a circle in square feet equals its radius in feet, then the circle's radius, in feet, is closest to
A) 0.25
B) 0.32
C) 0.45
D) 0.5
E) 0.65

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Posts: 2216
If the area of a circle in square feet equals its radius in feet, then  [#permalink]

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02 Jul 2018, 09:52
gmatbusters wrote:
If the area of a circle in square feet equals its radius in feet, then the circle's radius, in feet, is closest to
A) 0.25
B) 0.32
C) 0.45
D) 0.5
E) 0.65

Using this approximation: $$\pi\approx{3.14}\approx{\frac{22}{7}}$$

Area of a circle = radius of a circle

$$A =\pi r^2= \pi * r*r$$
$$A=r$$
$$\pi*r*r=r$$
Divide by $$r$$
$$\pi*r=1$$
We need the length of the radius:
$$r =\frac{1}{\pi}\approx{\frac{1}{3.14}}\approx{.32}$$

Or find radius this way (whatever is easier):
$$r =\frac{1}{\pi}\approx{\frac{1}{\frac{22}{7}}}=(1*\frac{7}{22})\approx{.32}$$
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Re: If the area of a circle in square feet equals its radius in feet, then  [#permalink]

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02 Jul 2018, 10:32
gmatbusters wrote:
If the area of a circle in square feet equals its radius in feet, then the circle's radius, in feet, is closest to
A) 0.25
B) 0.32
C) 0.45
D) 0.5
E) 0.65

$$r$$ = $$πr^2$$

Or, $$1 = \frac{22r}{7}$$

Or, $$r = \frac{7}{22}$$

Or, r ~ 0.32 , Answer must be (B)
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Abhishek....

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Re: If the area of a circle in square feet equals its radius in feet, then &nbs [#permalink] 02 Jul 2018, 10:32
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