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 6:00, what is the degree measure of the angle formed moving clockwise? (1 point) 210 degrees 150 degrees 120 degrees 330 degrees

Explanation:

Step1: Identify starting and ending positions

The starting position is at 11:00 which corresponds to 300 degrees and the ending position is at 6:00 which corresponds to 180 degrees.

Step2: Calculate the angle difference

We want to find the clock - wise angle. So we subtract the ending angle from the starting angle. The formula for the clock - wise angle $\theta$ is $\theta=300 - 180$.
$300-180 = 120$ degrees. But this is wrong as we need to consider the full - circle concept. The correct way is to find the non - negative angle between the two positions. The angle from 11:00 to 6:00 clockwise is $360-(300 - 180)=210$ degrees.

Answer:

210 degrees