Pond

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Pond

by zagcollins » Mon Jul 21, 2008 8:41 pm
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
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by egybs » Tue Jul 22, 2008 12:11 am
this has been answered before..

https://www.beatthegmat.com/looks-easy-b ... 11525.html
7/16 inches * 2 miles/inch = 14/16 = 7/8.

Now:
Pi*( 7/8 )^2 = ~3*(49/64)= ~ 150/64 = ~75/32 or somewhere around 2.5, but we know it's less than 3 and greater than 2.

The only answer that fits is B... 2.4.