Question

A circle has a circumference of 12.It has an arc length 11. What is the central angle of the arc,in degrees?

Answer 1

Answer:
`330^(\circ)`

Explanation:

Given

Circumference of circle
`C=12\ units`

Arc length
`l=11\ units`

we know arc length is given by

`l=(\theta )/(360^(\circ))* 2\pi r`

substituting value we get

`11=(\theta )/(360)* 12`

`(11)/(12)=(\theta )/(360)`

`\therefore \ \theta =330^(\circ)`