Answer: the arc length EF is about 8.4 inches
Step by step:
Given an angle "x" in degrees the arc length can be determined using the formula:
[tex]l = \frac{x}{360^\circ}2\pi r[/tex]
Basically, the above is a fraction of the circle's circumference.
We know x = 60 degrees, and r = 16 / 2 = 8 inches.
Plugging these values into the formula:
[tex]l = \frac{60}{360}2\pi\cdot 8 = \frac{1}{6}2\pi 8 = \frac{8}{3}\pi\approx 8.4"[/tex]
