Question

a circle measures 360°. If this circle were marked with numbers like a clock every number would represent 30° father from zero and closer to 360°. If an angle marker typically found at 11 o’clock where to rotate to the place normally marked for 4 o’clock what is the degree measure of the angle formed moving clockwise?

Answer 1

To find the degree measure of the angle formed when moving clockwise from the 11 o'clock position to the 4 o'clock position on a clock face, we can start by determining the positions of each hour in degrees.

Each hour on the clock represents \(30°\) because: \[ \frac{360°}{12} = 30° \]

Now, let's find the degree positions of 11 o'clock and 4 o'clock:

• 11 o'clock: \[ 11 \times 30° = 330° \]

• 4 o'clock: \[ 4 \times 30° = 120° \]

Next, we will calculate the angle moving clockwise from 11 o'clock to 4 o'clock. Since the movement is clockwise, we can subtract:

1. Start from 11 o'clock (330°).
2. Move to 4 o'clock (120°).

To find the clockwise angle, we can do: \[ \text{Angle} = (360° - 330°) + 120° = 30° + 120° = 150° \]

Thus, the degree measure of the angle formed moving clockwise from 11 o'clock to 4 o'clock is \(150°\).