What is the measure (in degrees) of the central angle formed by two consecutive arms?

Question

An amusement park ride (the "Decawhirl") has ten support arms that are equally spaced about a circle. What is the measure (in degrees) of the central angle formed by two consecutive arms?

Answer 1

Since the ten arms are equally spaced out about the circle, they divide the 360 degrees in the circle in 10 equal sections. Therefore, each of these sections has 360/10=36 degrees.