A pilot surveys a flat circular area represented by 4pi square inches on a map. If 1 inch on the map represents 60 miles, how many square miles does the pilot survey?
the map circle has radius 2 in. So, that represents a land circle of radius 120 mi.
So, what's the area of such a circle?
To find out how many square miles the pilot surveys, we need to convert the area represented on the map from square inches to square miles.
We are given that 1 inch on the map represents 60 miles. So, we can say that 1 square inch on the map represents (60 miles) * (60 miles) = 3600 square miles.
The pilot surveys an area represented by 4pi square inches on the map. To convert this to square miles, we multiply by the conversion factor:
4pi square inches * 3600 square miles/square inch = 14400pi square miles.
Therefore, the pilot surveys an area of 14400pi square miles.