Question

How many degrees are there in the angle between the hour hand and the minute hand of a clock, when it is
(i) 3 o'clock?
(ii) 6 o'clock?
(iii) 12 o'clock?
(iv) 9 o'clock?

Answer 1

(i) At 3 o'clock the angle formed between the hour hand and the minute hand is right angle, i.e. 90$°$.
(ii) At 6 o'clock the angle formed between the hour hand and the minute hand is a straight angle, i.e. 180$°$.
(iii) At 12 o'clock the angle formed between the hour hand and the minute hand is a complete angle, i.e. 0$°$.
This is because the hour hand and minute hand coincides to each other at 12 o'clock.
(iv) At 9 o'clock the angle formed between the hour hand and the minute hand is a right angle, i.e. 90$°$.