An arc of a circle is subtended by an angle of 30 degrees is 2 pi inches. What is the radius of the circle

The radius of the circle is 12 inches

Step-by-step explanation:

To find the radius of the circle, we will follow the steps below;

length of an arc = Ф/360 * 2πr

but from the question length of the arc = 2π in, Ф=30°

substitute the above into the formula and solve for r

2π = 30/360 * 2πr

2π = 2πr / 12

multiply both-side of the equation by 12

24π = 2πr

divide both-side of the equation by 2π

12 = r

r = 12 in