How to find the arc length of an arc of a circle?

Question

kewlgeek555 · Answer

I'm a bit confused on trying to find the arc length. I just want to confir that to find the arc length, it's:$$\frac{ degree }{ 360 }\times2 \pi r$$

thesmartone · Answer

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call y the arc length, and it's x degrees

you would find it

$\Large \frac{x}{360}\times  2\pi r$

thesmartone · Answer

You nailed it! :D

kewlgeek555 · Answer

Thanks! I used this equation and my answer was actually wrong. Can I show you my work? Maybe I did something wrong. :3

thesmartone · Answer

Maybe they want you to do it in radians!

We were using degrees. 

For radians:

arc length = rc

where r is the radius and c is the central angle

kewlgeek555 · Answer

Would the central angle be the degree?

thesmartone · Answer

yes, but we would have to convert it to radians

180 degrees = $\pi$

2$\pi$ is 360 degrees which is a whole revolution

kewlgeek555 · Answer

Oh wait, oh my goodness I got it! So I looked back at the question and I miscalculated the radius. I entered the radius incorrectly and it messed up my whole equation. I got it now! I'm so sorry, but hey I learned about radians, and that's something new!

Thank you so much for your help. :3

thesmartone · Answer

Anytime, Darry! :D