Question

1. Find the degree measure and the length of arc AB:

120°
20 in.

Answer 1

Degree measure of arc AB = 120°

Length of arc = 41.9 in.

Explanation:

✔️Measure of Central angle is the same as Measure of the intercepted arc

Therefore,

Degree measure of arc AB = 120°

✔️Length of arc =
`(\theta)/(360) * 2 \pi r`

`\theta = 120`

r = 20 in.

Length of arc =
`(120)/(360) * 2 \pi * 20`

= 41.887902

Length of arc = 41.9 in. (Nearest tenth)