Question

If the mEF = 60° and the diameter of this circle is 16 inches, what is the arc length of EF?

(Write your answer to the nearest hundredth.)

Answer 1

8.38 inches (rounded up to the nearest hundredth)

Explanation:

mEF = 60°

Diameter = 16 inches

Arc length EF is given by:

EF =
`(mEF)/(360)` × 2πr

Radius = 16 inches ÷ 2 = 8 inches

EF =
`(60)/(360)` × 2π(8)

EF = 8.38 inches (rounded up to the nearest hundredth)