Answer:
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
