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.)

Respuesta :

Answer:

8.38 inches (rounded up to the nearest hundredth)

Step-by-step explanation:

mEF = 60°

Diameter = 16 inches

Arc length EF is given by:

EF = [tex]\frac{mEF}{360}[/tex] × 2πr

Radius = 16 inches ÷ 2 = 8 inches

EF = [tex]\frac{60}{360}[/tex] × 2π(8)

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