Question

The circumference of a circle is 60π cm. What is the length of an arc of 140°? 11.7π cm 16.1π cm 23.3π cm 29.5π cm

Answer 1

c = 23.3

Explanation:

Answer 2

`23.3 \pi` cm

Explanation:

Circumference of circle =
`2 \pi r`

The circumference of a circle is 60π cm.

So,
`2 \pi r=60 \pi`

`2r=60`

`r=30`

Formula of length of arc =
`2 \pi r * (\theta)/(360)`

Length of arc =
`2 \pi * 30 * (140)/(360)`

Length of arc =
`23.3 \pi`

So, Option C is true

Hence Length of arc is
`23.3 \pi` cm