Question

A circle measures 360 degrees. If this circle were marked with numbers like a clock, every number would represent 30 degrees farther from 0 and closer to 360 degrees. If an angle 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?

A. 330 degrees
B. 240 degrees
C. 120 degrees
D. 150 degrees

Answer 1

Say it again it seems your text got a little messed up.

Answer 2

To find the degree measure of the angle formed when the marker at 11:00 moves to the place marked for 4:00, we first need to determine the degree measures for both positions.

1. **Calculate the degree measure for each hour on a clock:**
Each hour on a clock represents a division of the full 360 degrees by 12 hours:
\[
\text{Degrees per hour} = \frac{360 \text{ degrees}}{12} = 30 \text{ degrees}
\]

2. **Determine the degree measure for 11:00:**
The position at 11:00 corresponds to:
\[
11 \times 30 = 330 \text{ degrees}
\]

3. **Determine the degree measure for 4:00:**
The position at 4:00 corresponds to:
\[
4 \times 30 = 120 \text{ degrees}
\]

4. **Calculate the clockwise angle from 11:00 to 4:00:**
To find the clockwise movement from 11:00 (330 degrees) to 4:00 (120 degrees), we can calculate it as follows:
- Since we are moving clockwise, we can find the angle going from 330 degrees to 120 degrees by going "around" the clock:
\[
\text{Angle} = 120 \text{ degrees} + (360 \text{ degrees} - 330 \text{ degrees}) = 120 + 30 = 150 \text{ degrees}
\]

So, the degree measure of the angle formed by moving clockwise from 11:00 to 4:00 is:

\[
\boxed{150 \text{ degrees}}
\]