How many degrees does the hour hand of a clock turn in 5 minutes?

2 Answers
Nov 22, 2015

360/144 = 2.5^@

Explanation:

Each hour is 1/12 of a complete circle for the hour hand (on a standard 12 hour clock).

5 minutes is 1/12 of an hour.

So in 5 minutes, the hour hand moves 1/12*1/12 = 1/144 of a complete circle.

A complete circle is 360^@, so this is 360/144 = 2.5^@

Jul 20, 2017

2.5° in 5 minutes

Explanation:

What fraction does 5 minutes represent of a full revolution of the hour hand?

The hour hand rotates 360° in 12 hours.

This is 12xx60 = 720 minutes

Therefore 5 minutes is

5/720 xx 360° = 2.5°

The same result is obtained if we determine through how many degrees the hour hand turns in 1 hour:

360 div 12 = 30° in one hour

5 minutes is 1/12 of an hour.

1/12 xx 30° = 2.5°