"How many degrees does the hour hand of..." was answered by our experts

Craig French

Answered question

2022-02-10

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

krugom1if

Beginner2022-02-11Added 6 answers

Step 1
Each hour is

\frac{1}{12}

of a complete circle for the hour hand (on a standard 12 hour clock).
5 minutes is

\frac{1}{12}

of an hour
So in 5 minutes, the hour hand moves

\frac{1}{12} \times \frac{1}{12} = \frac{1}{144}

of a complete circle.
A complete circle is

360^{\circ}

, so this is

\frac{360}{144} = {2.5}^{\circ}

Cenedesiidv

Beginner2022-02-12Added 11 answers

Step 1
The hour hand rotates

360^{\circ}

in 12 hours
This is

12 \times 60 = 720

minutes
Therefore 5 minutes is

\frac{5}{720} \times 360^{\circ} = {2.5}^{\circ}

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

360 \div 12 = 30^{\circ}

in one hour
5 minutes is

\frac{1}{12}

of an hour

\frac{1}{12} \times 30^{\circ} = {2.5}^{\circ}

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