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

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21
Nov 22, 2015

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

#### Explanation:

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 $\frac{1}{12} \cdot \frac{1}{12} = \frac{1}{144}$ of a complete circle.

A complete circle is ${360}^{\circ}$, so this is $\frac{360}{144} = {2.5}^{\circ}$

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10
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 $12 \times 60 = 720$ 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 $\frac{1}{12}$ of an hour.

1/12 xx 30° = 2.5°

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