Question

Find the measure of reflex angle made between the hands of a clock at $3$ o'clock.

Answer 1

We know, $12$ divisions $=1$revolution$=360°$

Step 1-: $1$ division$=\frac{360°}{12}=30°$

Step 2-: From the figure, it is clear that the hour hand of the clock $3$ divisions away from $12$ at $3$ o'clock.

Step 3-: Multiply on both sides of the equation of step 1 by $3$, we get

$3\times 1$ division $=3\times 30°$

Step 4-: $3$ divisions $=90°$

Step 5-: Reflex angle made between the hands of a clock at $3$ o'clock $=360°-90°=270°$

Hence, the reflex angle made between the hands of a clock at $3$ o'clock is $270°$