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On an aerial photograph, the surface of a pond appears as

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M8
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On an aerial photograph, the surface of a pond appears as [#permalink] New post  30 Apr 2006, 07:03
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On an aerial photograph, the surface of a pond appears as circular region of radius 7/16 inch. If a distance of 1 inch on the photograph corresponds to an actual distance of 2 miles, which of the following is the closest estimate of the actual surface area of the pond, in square miles?

A. 1.3
B. 2.4
C. 3.0
D. 3.8
E. 5.0

OPEN DISCUSSION OF THIS QUESTION IS HERE: on-an-aerial-photograph-the-surface-of-a-pond-appears-as-100605.html
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Re: On an aerial photograph, the surface of a pond appears as [#permalink] New post  21 Jul 2015, 01:42
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M8 wrote:
On an aerial photograph, the surface of a pond appears as circular region of radius 7/16 inch. If a distance of 1 inch on the photograph corresponds to an actual distance of 2 miles, which of the following is the closest estimate of the actual surface area of the pond, in square miles?

A. 1.3
B. 2.4
C. 3.0
D. 3.8
E. 5.0


As 1 inch = 2 miles, then 7/16 inches = 2*7/16 = 7/8 miles. So actual radius is 7/8 miles. \(Area=\pi{r^2}\approx{\frac{22}{7}*\frac{49}{64}}\approx{2.4}\) (as we are asked about the approximate value we can take \(\pi\approx{\frac{22}{7}}\)).

Answer: B.

OPEN DISCUSSION OF THIS QUESTION IS HERE: on-an-aerial-photograph-the-surface-of-a-pond-appears-as-100605.html
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ywilfred
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Re: On an aerial photograph, the surface of a pond appears as [#permalink] New post  02 May 2006, 00:25
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7/16 inch = 7/16 * 2 = 7/8 miles.

Area = pi * r^2 = 22/7 * 7/8 * 7/8 = 77/32 = ~2.4
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cdm2006
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Re: On an aerial photograph, the surface of a pond appears as [#permalink] New post  01 May 2006, 03:22
B as well my estimate was: for r: 2*7/16= 7/8 and then 3*49/64= 150/64
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sm176811
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Re: On an aerial photograph, the surface of a pond appears as [#permalink] New post  03 May 2006, 03:18
Agreed... Answer is 2.4!

B...


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shampoo
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Re: On an aerial photograph, the surface of a pond appears as [#permalink] New post  03 May 2006, 09:03
B. use the given ratio to convert the radius so, 7/8. area: (7/8)^2 * 3.
I heard we can use Pie=3 on gmat, is that true?
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sm176811
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Re: On an aerial photograph, the surface of a pond appears as [#permalink] New post  03 May 2006, 09:07
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shampoo wrote:
B. use the given ratio to convert the radius so, 7/8. area: (7/8)^2 * 3.
I heard we can use Pie=3 on gmat, is that true?



I have seen different values used in different problems. I think it depends on the question and the values given to you. For some 22/7 works very nice as it cancels the given values!
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Re: On an aerial photograph, the surface of a pond appears as [#permalink]
03 May 2006, 09:07
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