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?

Question

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

Answer 1

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:

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

Answer 2

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