Question

What fraction of a circle does an arc measure of 30 degrees encompass?

1/12


1/4


1/6


1/3

Answer 1

`(1)/(12)`

Explanation:

A full circle consists of 360°, so we can write the fraction of this arc as
`(30)/(360)`, which can be simplified to
`(1)/(12)` by dividing the numerator and denominator by 30.

**This content involves simplifying fractions and knowledge on the angle sum of a circle which you may wish to revise. I'm always happy to help!