Question

1. (G. 12B) The radius of a circle is 5

inches. What is the length of a 70° arc?
(use 3.14 for 1)

Answer 1

1.94 in

Explanation:

The arc length formula is s = rФ. Here, r = 5 in and Ф = 70° But in this formula the central angle, Ф, must be in radians:

70°(1 rad)

-------------- = 0.389 rad

180°

Thus, the arc length here is s = (5 in)(0.889 rad) = 1.94 in