Aerial photograph

[cartera]

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. 2.0
C. 3.0
D. 3.8
E. 5.0


OA B

[mals24]

Umm cartera you haven't posted the answer choices so we don't know what B is. Can you please post them.

Anyways the solution of the question is as follows:

radius = 7/16

1 inch = 2 miles
7/16 inches = 2*7/16 = 7/8 miles

Area = Pi * (7/8 )^2
Let Pi = 22/7

Area = (22*49)/(7*64) = 77/32 or 2.4 approx.

If the answer choices has Pi in it, then answer is Pi (49/64).