Question

At 8.40, the hour hand and the minute hand of a clock form an angle of :

Answer 1

At 8:40,the hour hand and the minute hand of a clock forms an angle of 0 degree as the hour and minute hand will be on each other.

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Answer 2

At 8:40, the hour hand and the minute hand of a clock form an angle of 20 degree.

Solution:

The circle clock has $360^{\circ}$ and each minute makes $6^{\circ}$

For 1 hour, the minute hand makes $360^{\circ}$ and the hour hand makes $30^{\circ}$

At the time of 8:40, the minute hand is at 8 and it makes an angle,

$\Rightarrow\left(40 \times 6^{\circ}\right)=240^{\circ}$

At the time of 8:40, the hour hand is between 8 and 9, and then it makes an angle of

$\Rightarrow(8 \times 30)+\frac{30 \times 40}{60}$

$\Rightarrow 240^{\circ}+\left(\frac{1200}{60}\right)$

$\Rightarrow 240^{\circ}+20^{\circ}$

$\Rightarrow 260^{\circ}$

So, the angle between the "hour hand" and "minute hand" when the time is 8:40 is, the difference between the angle between the "hour and minute hand".

$\Rightarrow 260^{\circ}-240^{\circ}$

$\Rightarrow 20^{\circ}$