Question

What is the difference between angles made by minute hand and hour hand in 54 minutes

Answer 1

Given:

A clock with hour hand and minute hand

To find:

Difference between angles made by them in 54 minutes

Solution:

Angle swept by minute hand in 60 mins= 360°

Angle swept by minute hand in 1 min = 6°

Angle swept by minute hand in 54 minutes = 6 X 54 = 324°

Similarly,

Angle swept by hour hand in 12 hours (12x60=720 mins) = 360°

Angle swept by hour hand in 1 min = 0.5°

Angle swept by hour hand in 54 minutes =27°

Difference = 324° - 27° = 297°

Hence, the difference between angles made by minute hand and hour hand in 54 minutes is 297°.

Answer 2

The difference between angles made by minute hand and hour hand in 54 minutes is calculated below:

• A clock takes a full circle in 1 hour which is 60 minutes forming an angle of 360 Degrees between the minute and the hour hand.
• The angle made in every 1 minute by the minute and hour hand is 360/60 = 6 degrees
• In 54 minutes the minute and hour hands of a clock makes an angle of 6 x 54 degrees
• = 324 degrees

So the answer is 324 degrees in 54 minutes.