Relationship between arclength, radius, and angle measure.?

Question

Okay, so the example in my book says that the angle measure *radius = arc length, when the angle measure is in radians. What about if the angle measure is in degrees? How does the formula for arc length change?

Answer 1

1 radian=57.3 degree

So if angel=20 deg, ark length=r*20/57.29578

Answer 2

(Angle in Degrees / 360) * 2 * Pi * Radius = Arc

Pi here is 22/7

Answer 3

when angle measured in radian

arc length = angle measure x r

when angle measured in deg

arc length = angle measure x 2x pi x r/ 360

relation betn radian and deg

r(rad) = rxpi /180  (deg)

so now again consider

arc length = angle measure x r(radian

= angle measure x rx pi /180 (deg)

or

= angle measurex r x 2x pi / 360

your qs.

(arc length times 360/angle)/ 2 pi?

yes, if you want to solve for  "r"

r = (arc length x 360) / (angle measure x 2pi)