Consider the motion of the hour hand of a clock. What angle does the hour hand make with respect to the vertical 12 o'clock position when it is at the times below? Express each angle in both degrees and radians, and measure angles going clockwise from the vertical axis.

Question

5 o clock?

Answer 1

Five O'clock occurs when the hour hand is 5/12 of 360 degrees past the vertical minute hand.

5/12 x 360 = 150 degrees

Convert that to radians for the other answer.

Answer 2

60