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Chapter 10: Problem 2

The hour hand of a clock moves from 12 to 4 o'clock. Through how many degrees does it move?

Short Answer

Expert verified
The hour hand moves through 120 degrees.

Step by step solution

01

Determine Degrees per Hour

We know that a full clock face is a circle, and a circle has 360 degrees. Since the hour hand of the clock goes round the whole face in 12 hours, it covers 360 degrees in 12 hours. To find out how many degrees it covers in one hour, we perform a division: \(360 梅 12 = 30\) degrees.
02

Determine Total Degrees

We are told that the hour hand moves from 12 to 4 o'clock. Since each hour is 30 degrees, we multiply the 4 hours by 30 degrees to get a total of \(4 脳 30 = 120\) degrees.

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