Q8: The minute hand of a clock is 5 cm long and moves from 12 to 4 o'clock. This is \( \frac{1}{3} \) of a complete revolution. a. Draw a picture to show this and give the measure of the angle in degrees that the hand moves?

To determine the angle that the minute hand of a clock moves from 12 to 4 o'clock, we can visualize the clock face. 1. **Understanding the Clock Face**: A complete revolution of the clock (360 degrees) is divided into 12 hours. Each hour represents an angle of: \[ \frac{360 \text{ degrees}}{12 \text{ hours}} = 30 \text{ degrees per hour} \] 2. **Calculating the Angle from 12 to 4**: The minute hand moves from the 12 o'clock position to the 4 o'clock position, which is 4 hours. Therefore, the angle moved is: \[ 4 \text{ hours} \times 30 \text{ degrees/hour} = 120 \text{ degrees} \] 3. **Visual Representation**: To draw a picture: - Draw a circle to represent the clock face. - Mark the positions for 12, 1, 2, 3, and 4 on the circle. - Draw a line from the center of the clock to the 12 o'clock position (this represents the starting position of the minute hand). - Draw another line from the center to the 4 o'clock position (this represents the ending position of the minute hand). - The angle between these two lines is 120 degrees. In summary, the minute hand moves an angle of **120 degrees** from 12 to 4 o'clock.