Question

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

Answer 1

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

Answer 2

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.