Question

What is the radius of a circle in which a 30° arc is 2 inches long?

24 inches
12 inches
2√3 inches

Answer 1

12 inches

Explanation:

2 = arc length

30 degrees = m arc AB

Formula

arc length = m arc AB / 360 degrees (2πr)

Plug in formula

2 = 30/360 (2πr)

2 = 60πr/360

(360)2 = 60πr/360 (360)

720 = 60πr

720/60π = 60πr/60π

12 = r

Answer 2

12 inches.

Good luck!