An accurate clock shows 3:00 PM. Through how many degrees will the hour hand rotate when the clock shows 9:00 PM?

Question: An accurate clock shows 3:00 PM. Through how many degrees will the hour hand rotate when the clock shows 9:00 PM?

Solution:
From 3.00 pm to 9.00 pm,
total time = 9 - 3 = 6 hours

We know,
Angle traced by hour hand in 12 hours = 360°

∴ Angle traced by hour hand in 6 hours,
= (360 × 6)/12
= 180°