Question

If the distance from the earth to the moon is approximately 385962 km. Assuming the moon has a circular orbit around the earth, find the distance (arc length) the moon travels while orbiting the earth through an angle of 7pi/4 radians.

Answer 1

675433.5 pi km

Explanation:

(7pi/4)/2pi = (7/4)/2 = 7/8

7/8 times the perimeter is the arc length we are looking for

perimeter: 2(pi)(385962)

7/8 * 2(pi)(385962) = 675433.5 pi