The time is 2: 46 pm. what is the measure of the angle that the minute hand swept through since 2: 00 pm?

The minute hand has swept through 46 minutes on the clock. You have to set up a ratio to solve this:



You can compare the 60 minutes on a clock to 360 degrees because 60 minutes on a clock is one whole rotation. So then, you cross multiply and simplify:



Therefore, the minute hand has swept through an angle with a measure of 276 degrees.