What is the angular position in radians of the minute hand of a clock at 2:55?

Refer to the diagram shown.

There are twelve 5-minute divisions.

Each 5-minute division is equal to 360°/12 = 30°.

By convention, angles are measured counterclockwise from the positive x-axis.

The angular position of the minute hand at 2:55 is

θ = 90° + 30° = 120°

Because 360° = 2π radians, therefore

θ = (120/360) * 2π = (2π) / 3 radians = 2.0944 radians

Answer: (2π) / 3 radians ofr 2.0944 radians.

(2pie radian/12) * 11 = 5.7566 radian