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

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:

`l = (x)/(360^\circ)2\pi r`

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:

`l = (60)/(360)2\pi\cdot 8 = (1)/(6)2\pi 8 = (8)/(3)\pi\approx 8.4`