Question

What is the approximate length of arc s on the circle below? Use 3.14 for pi round your nearest tenth.

A) 14.1 in.
B) 22.5 in.
C) 42.3 in.
D) 56.5 in.

Answer 1

14.1 in

Explanation:

Length of the arc formula = circumference of the circle * central angle / 360

circumference of the circle formula =
`2\pi r`

where r is the radius of the circle

Radius = 6 in

central angle = 135 degrees

Length of the arc =
`2 \pi * radius* (angle)/(360)`

=
`2\pi*6* (135)/(360)`

= 14.137= 14.1 in

Answer 2

A

Explanation:

The arc length is calculated as

arc = circumference × fraction of circle

= 2π × 6 ×
`(135)/(360)`

= 12π ×
`(3)/(8)`

=
`(36\pi )/(8)` ≈ 14.1 in