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
Convert the given radius into miles.
Since 1 inch on the photograph is the equivalent of 2 miles, we get:
(7/16 inches) * (2 miles)/(1 inch) = 7/8 miles.
Area of the pond = πr² ≈ (22/7)(7/8)² = (22*7)/8² = 154/64 = between 2 and 3.
The correct answer is
B.
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