The minute hand of a clock moves from 12 to 4 o'clock, or latex: \frac{1}{3} 1 3 of a complete rotation. through how many degrees does it move? through how many radians does it move?

The first thing you should keep in mind is that the watch can be modeled as a circle.

The full angle of a circle is equal to 360 degrees.

Therefore, for 1/3 of the circle we have:

Then, we have the following conversion:

π radians = 180 degrees

Applying the conversion we have:

The movement of the clock hand in degrees and radians is:

Degrees = 120

Radians =