Question

A circle, divided into twelve equal segments by lines emanating from its center. The circle is labeled with angle measurements in 30-degree increments, starting from 0 degrees at the top (12 o'clock position) and increasing clockwise. Labels include 0 degrees, 30 degrees, 60 degrees, 90 degrees, 150 degrees, 180 degrees, 210 degrees, 240 degrees, 270 degrees, and 300 degrees. Two points are also labeled with clock times: 4:00 at the 120-degree position and 11:00 at the 330-degree position. Lines with arrows point from the center to the 4:00 and 11:00 markings.


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?

Answer 1

11:00 is at 330° and 4:00 is at 120°. Moving clockwise from 330° to 120° is (120 − 330) mod 360 = 150°.

So the clockwise rotation is 150 degrees.