I don't understand what steps I have to do in order to solve this problem.

An angle's rays cut off an arc length of 227 centimeters in a circle with a 40 centimeter radius.

A. What portion of the circle's circumference is cut off by this angle?

B. What is the measure of this angle in radians?

C. What is the measure of this angle in degrees?

2 answers

the entire circumference is 40*2π = 251.33 cm

so, 227/251.33 = 0.9 of the whole circumference

the angle is thus 0.9 * 2π = 1.8π radians

1.8π * 180/π = 324°
Old sorry