**CLOCK:**

A clock is a circular/square shaped instrument used to view/measure time in hours, minutes and seconds.

There are mainly four important parts of a clock-dial, hour hand, minute hand and second' hand.

The face or dial of a watch is a circle whose circumference is divided into 60 equal parts, called minute spaces.

A clock has two hands, the smaller one is called the hour hand or short-hand while the larger one is called the minute hand or long band.

\(60\ seconds =1 \ minute \)

\(60 \min =1 \ hour \)

\(30 \ min = Half \ of \ an \ hour \)

\(15 \ min = Quarter \ of \ an\ hour\)

- In 60 minutes, the minute hand gains 55 minutes on the hour hand.
- In every hour, both the hands coincide once.
- The hands are in the same straight line when they are coincident or opposite to each other.
- When the two hands are at right angles, they are 15-minute spaces apart.
- When the hands are in opposite directions, they are 30-minute spaces apart.
- Angle traced by hour hand in 12 hrs =\\(360^{\circ}\).
- Angle traced by minute hand in 60 min. =\(360^{\circ}\).
- Too Fast and Too Slow: If a watch or a clock indicates 8.15, when the correct time is 8, it is said to be 15 minutes too fast.
- On the other hand, if it indicates 7.45 when the correct time is 8, it is said to be It minutes too slow.

- Both hands of a clock occur at a right angle twice in one hour, 22 times in 12 h and 44 times in 24 h.
- Both hands of a clock occur in a straight line or are opposite once in one hour, 11 times in 12 h and 22 times in 24 h
- The hands of a clock coincide once in an hour, 11 times in 12 h and 22 times in 24 h.