# What is the formula for finding the length of an arc, using radians and degrees?

Oct 15, 2015

Assuming this is an arc of a circle use the ratio of arc degrees divided by 360

#### Explanation:

If you know the radius and the arc in degrees :

arc length = ${x}^{o} / {360}^{o} 2 \pi r$

arc length = $\frac{r a \mathrm{di} a n s}{2 \pi} 2 \pi r = \left(r a i \mathrm{da} n s\right) r$