Question

What is the length of an arc defined by a 60 degree central angle in a circle with a radius of 5 in.?

Answer 1

5.24 in

Explanation:

The arc length is calculated as

arc = circumference × fraction of circle

= 2πr ×
`(60)/(360)`

= 2π × 5 ×
`(1)/(6)`

=
`(10\pi )/(6)` ≈ 5.24 in (2 dec. places )