Question

What is the angular position in radians of the minute hand of a clock at 3:35?
What is the angular position in radians of the minute hand of a clock at 7:00?

Answer 1

Answer:

Explanation:

As with any measuring program, we need to know the origin.

If we ASSUME that zero radians is to the 12 position, then

there are 60 minutes in one minute hand revolution of an hour and 2π radians in one circle

35/60 = x/2π

x = 70π/60 = 7π/6 radians

at any exact hour, the minute hand points to the 12 so angular position is

0 + (2π)n radians  where n is any whole number.