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If the figure below is a square with a side of 4 units...

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by BTGmoderatorLU » Sun Jan 21, 2018 8:10 am
If the figure below is a square with a side of 4 units, what is the area of the enclosed circle, expressed to the nearest whole number?

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A. π
B. 4
C. 8
D. 13
E. 16

The OA is D.

Experts, I think that this PS question is very simple,

If the side of square is 4, that's mean that the radius of the circle is 2, then the area of the circle will be,
$$A=\pi\cdot r^2=4\pi=12.5\approx13$$
Any other suggestion about how to solve it? Thanks in advance.
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by EconomistGMATTutor » Sun Jan 21, 2018 10:33 am
LUANDATO wrote:If the figure below is a square with a side of 4 units, what is the area of the enclosed circle, expressed to the nearest whole number?

Image

A. π
B. 4
C. 8
D. 13
E. 16

The OA is D.

Experts, I think that this PS question is very simple,

If the side of square is 4, that's mean that the radius of the circle is 2, then the area of the circle will be,
$$A=\pi\cdot r^2=4\pi=12.5\approx13$$
Any other suggestion about how to solve it? Thanks in advance.
Hi LUANDATO,

You have followed the perfectly right approach.
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by [email protected] » Sun Jan 21, 2018 10:36 am
Hi LUANDATO,

Your approach to this question is spot-on. You might save a little time by using the answers to your advantage though. Since the area of the square is (4)(4) = 16, the area of the circle has to be a bit less than that... and there's only one answer that really fits that logic. In that same way, since we know that pi is 3.14....., once you know the radius is 2, then you know that the area is a bit more than 12.... and there's only one answer that really fits that logic. In both cases, you would have the correct answer.

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by Jeff@TargetTestPrep » Tue Jan 23, 2018 9:16 am
LUANDATO wrote:If the figure below is a square with a side of 4 units, what is the area of the enclosed circle, expressed to the nearest whole number?

Image

A. π
B. 4
C. 8
D. 13
E. 16
Since the square has a side of 4, the diameter of the circle is 4, and the radius is 2.

Thus, the area is π x 2^2 = 4π ≈ 4 x 3.14 = 12.56. The nearest integer to 12.56 is 13.

Answer: D

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