Is arc length equal to (central angle × circumference)/360?

[shadowboy13]

Now i haven't checked yet whether or not this is correct, but the formula for the length of an arc that subtends a central angle can also be expressed this way: $$AC/360$$

Where:
A: Central Angle
C: Circumference

Is this correct?

Thank you for your help.

 

[Mentallic]

Now i haven't checked yet whether or not this is correct, but the formula for the length of an arc that subtends a central angle can also be expressed this way: $$AC/360$$

Where:
A: Central Angle
C: Circumference

Is this correct?

Thank you for your help.

Well you tell me. Does the formula match up with what you'd expect if the central angle A = 360^o? 180^o? 90^o? If it doesn't work for one of these values, then it can't be correct, but if it does work for all, then it's pretty good evidence that it could be correct if you also couple it with some simple logic. In other words, is this what you'd expect the arc length to be intuitively?

 

[HallsofIvy]

Essentially what you are trying to say is that the length of a segment of a circle of given radius is proportional to the central angle. Yes, that's true.