We know that there are 2pi radians in a full circle with radius r. We also know that the circumference (arc length) of a circle with radius r is 2pir. So we can say that:
The arc length = measure of central angle in radians x radius length.
Let
s = arc length
θ = measure of central angle in radians, and
r = radius,
then, the arc length formula has the general form:
s = θr
If θ is in degrees, then s = θ/360 x 2pir