Question

A man is able to run an arc of 150° along a circular track, whose radius is 150 ft. How far did the man run?

Answer 1

Explanation:

length of the arc = angle/360 * 2 * pi * r

150/360 * 2 * 22/7 * 150

393 ft

Answer 2

392.5 ft

Explanation:

First, let's find the circumference of the track. This is 2 * 3.14 * 150 = 942 ft. 150° is 5 / 12 of 360° (the full circle) so that means that the minor arc it forms (which is also the arc the man ran) is 5/12 of the circumference. This means that the answer is 5/12 * 942 = 392.5 ft. Hope this helps!