SOLUTION: How many miles on the surface of the earth correspond to 1-degree latitude with the earth having a radius of 3960 miles?

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Question 1191860: How many miles on the surface of the earth correspond to 1-degree latitude with the earth having a radius of 3960 miles?
Answer by MathLover1(20850) About Me  (Show Source):
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The radius r of the earth at the equator is approximately 3964 miles.
There is a formula in trigonometry called the arc length formula:
s=r%2Ax, s=arc length, r=radius, x=central angle in radians.
This usually applies to a circle but it can apply to the given problem.
1+degree=%28pi%2F180%29radians

s=3964miles%2A%281%2F180%29pi=3964%2Api%2F180=69.19miles
answer:
one degree of latitude corresponds to 69.19 miles on the surface of the earth