Question

A circle measures 360 degrees. If this circle were marked with numbers like a clock, every number would represent 30 devrees farther from 0 abd cliser to 360. If an abgle marker typically found at 11:00 were to rotate to the place normally marked for 4:00, what is the degree measure of the angle formed moving clockwise

Answer 1

To determine the degree measure of the angle formed when an angle marker at 11:00 rotates to the position of 4:00 on a clock, we need to calculate the angle between these two positions in a clockwise direction.

Each hour on the clock represents 30 degrees, as there are 12 hours in a full circle (360 degrees) and \( 360 \div 12 = 30 \).

The positions are as follows:

- 11:00 corresponds to \( 11 \times 30 = 330 \) degrees.
- 4:00 corresponds to \( 4 \times 30 = 120 \) degrees.

Now, we find the clockwise angle from 11:00 to 4:00:

1. Start at 330 degrees (11:00).
2. Move clockwise to 360 degrees (which is the same as 0 degrees), and then from 0 degrees to 120 degrees (4:00).

The movement is:

- From 330 to 360 degrees: \( 360 - 330 = 30 \) degrees
- From 0 degrees to 120 degrees: \( 120 - 0 = 120 \) degrees

Adding these two movements together gives:

\[
30 + 120 = 150 \text{ degrees}
\]

Thus, the angle formed moving clockwise from 11:00 to 4:00 is **150 degrees**.