if the radius of the circle in the figure is 20 cm and length equals 85 cm, what is the radian measure of angle

Question

If the radius of the circle in the figure is 20 cm and length equals 85 cm, what is the radian measure of angle?

Answer 1

I will assume that the "length" in question is along the outside of the circle.

 

In this case 1 radian = 20 cm, so an 85 cm arc length = 85/20 radians = 17/4 radians or 243.5 degrees