On an aerial photograph, the surface of a pond appears as circular region of radius 7/16 inch. If a distance of 1 inch..

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BTGmoderatorLU: Moderator; Posts: 2600; Joined: Sun Oct 15, 2017 1:50 pmFollowed by: 6 members

by BTGmoderatorLU » Tue Nov 03, 2020 9:28 am

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Source: GMAT Paper Tests

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

The OA is B

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Source: Beat The GMAT — Problem Solving | Tue Nov 03, 2020 9:28 am

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Re: On an aerial photograph, the surface of a pond appears as circular region of radius 7/16 inch. If a distance of 1 in

by Scott@TargetTestPrep » Tue Nov 10, 2020 1:15 pm

BTGmoderatorLU wrote: ↑
Tue Nov 03, 2020 9:28 am
Source: GMAT Paper Tests

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

The OA is B

Solution:

We can create a proportion in which n is the radius of the pond in miles:

1/2 = (7/16)/n

n = 2(7/16)

n = 7/8

Thus, the area of the pond is (7/8)^2 x π. Recall that the fractional approximation of π is 22/7. Thus, we have:

(7/8)^2 x π ≈ 49/64 x 22/7 = 7/32 x 11/1 = 77/32 = 2 13/32 ≈ 2 12/30 = 2 2/5 = 2.4

Answer: B

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