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Direct calculation
A = 4π sq inch
= 4π * 60 * 60 (since square multiply twice the conversion )
= 14400π

Posted from my mobile device
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Bunuel
A pilot surveys a flat circular area represented by 4π square inches on a map. If 1 inch on the map represents 60 miles, how many square miles does the pilot survey?

(A) 15π
(B) 240π
(C) 900π
(D) 7,200π
(E) 14,400π
Map area of circular region in square inches =
\(πr^2=4π\), \(r^2=4\), so map \(r=2\) inches

\(\frac{Map}{Actual}=\frac{1inch}{60mi}=\frac{2in}{120mi}\)
Actual radius of the circular area is 120 miles.

Actual area in square miles =
\(πr^2=(120)^2π=14,400π\)

Answer E
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Bunuel
A pilot surveys a flat circular area represented by 4π square inches on a map. If 1 inch on the map represents 60 miles, how many square miles does the pilot survey?

(A) 15π
(B) 240π
(C) 900π
(D) 7,200π
(E) 14,400π

Since 1 inch = 60 miles, 1 square inch = 60 x 60 = 3,600 square miles.

Thus, 4π square inches = 4π x 3,600 = 14,400π square miles.

Alternate Solution:

We can create a proportion to solve this question. First, the scale given for the map must be converted to square miles: since 1 inch is 60 miles, 1 square inch = 60 x 60 = 3600 square miles.

The proportion for the number of square miles the pilot surveys is:

1 square inch/3600 square miles = 4π square inches/x

Cross multiplying, we have:

x = 4π x 3600

x = 14,400 π square miles


Answer: E
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