Question

Find the arc length for a circle with diameter 10 inches and central angle 60 degrees. Round to the nearest tenth.

Answer 1

C. 5.2 cm

Explanation:

Arc length formula:

`s = (n)/(360^\circ) 2 \pi r`

where s = arc length

n = central angle of arc

r = radius of circle

diamter = d = 10 cm

r = d/2 = 10 cm/2 = 5 cm

n = 60 deg

`s = (n)/(360^\circ) 2 \pi r`

`s = (60^\circ)/(360^\circ) 2 * 3.14159 * 5 ~cm`

`s = 5.2~cm`

Answer: 5.2 cm