Question

Angle between minute hand and hour hand at $6$ O' clock is?

Answer 1

Angle between minute hand and hour hand of the clock.

Given that the time is $6$ O’clock.

In a clock, there are $12$ hour divisions and one complete rotation of the hour hand measures $360°$. Hence, for each hour, the hour hand of the clock (and for every $5$ minutes, the minute hand of the clock) covers a measure of $\frac{360°}{12}=30°$. Therefore, each hour division forms a sector of angle $30°$.

At $6$ o’clock, the hour hand is at $6$ and the minute hand is at $12$.

Therefore, at $6$ o’clock, there is a difference of $6$ hour divisions or sectors between the two hands of the clock.

Hence, the angle formed between the two hands of the clock will be

$6\times 30°=180°$

Hence, the angle formed between the minute hand and hour hand of the clock will be $180°$.