Question

What is the radius of a circle in which a 30° arc is 27 Inches long?

O 12 inches
O 2√3 inches
O24 inches

Answer 1

Explanation:

Formula

Arc length = (theta/360) * 2 * pI * r

Givens

Arc Length = 27 inches

theta = 30

r = ?

Solution

27 = (30/360) * 2 * 3.14 * r Reduce the right hand side

30 / 360 = 1/12 = 0.0833

Arc length = 0.0833 * 2 * 3.14 * r

Arc length = .5233 * r

27 = 0.5233 * r Divide both sides by 0.5233

27/0.5233 = 9.5233 r / 0.5233

51.59 = r

Comment

None of the answers agree with what I am getting. I'm pretty certain I've done it correctly with the numbers given. You might want to ask your instructor how this is done.