# How to find angle...

#### RRITESH KAKKAR

Joined Jun 29, 2010
2,829
A clock shows the time as 12.20. What is the angle the hour hand makes with the minutes hand?

#### bertus

Joined Apr 5, 2008
22,263
Hello,

It depends if you want to compensate for the hour hand, as it shifts a tiny bit every second.
That is how a mechanical clock works.
The minute hand makes 6 degrees every minute.

Bertus

#### RRITESH KAKKAR

Joined Jun 29, 2010
2,829

#### RRITESH KAKKAR

Joined Jun 29, 2010
2,829
The minute hand makes 6 degrees every minute.
6sec*5min*4=120 wrong

#### bertus

Joined Apr 5, 2008
22,263
Hello,

In a mechanical clock, the hour hand moves with 1/60 of the speed of the minute hand.

Bertus

#### RRITESH KAKKAR

Joined Jun 29, 2010
2,829
A clock shows the time as 12.20. What is the angle the hour hand makes with the minutes hand?

The question is exactly what is the Angle now..

#### bertus

Joined Apr 5, 2008
22,263
Hello,

I made a mistake in post #5.
When the hour hand makes a 30 degrees move in an hour, it will make a move of 10 degrees in 20 minutes.

Bertus

#### RRITESH KAKKAR

Joined Jun 29, 2010
2,829
When the hour hand makes a 30 degrees move in an hour, it will make a move of 10 degrees in 20 minutes.

How?
There is total 360 if anything go circle/round ...
the answer is 110 degree why?

Joined Apr 16, 2011
581
Draw the analogue clock on a sheet of paper, but instead of the 12 hours, mark the 12 divisions in degrees, starting with 0 degrees at the top.

The answer should become obvious if you remember to think carefully.

Hint - the hour hand does not point to 0 degrees

Over to you....

#### Ramussons

Joined May 3, 2013
1,390
When the hour hand makes a 30 degrees move in an hour, it will make a move of 10 degrees in 20 minutes.

How?
There is total 360 if anything go circle/round ...
the answer is 110 degree why?
The hour hand goes 360 degrees in 12 hours => 30 degrees /hour => 10 degrees in 20 minutes.
The minute hand does 360 degrees in 60 minutes => 120 degrees in 20 minutes.

=> angle between the hands = (120 - 10) = 110 degrees.

#### RRITESH KAKKAR

Joined Jun 29, 2010
2,829
Here is The Clock

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Joined Apr 16, 2011
581
That is a good start, but now draw it with the hour hand in the correct place...

#### RRITESH KAKKAR

Joined Jun 29, 2010
2,829
That is a good start, but now draw it with the hour hand in the correct place...
How?

Joined Apr 16, 2011
581
Look at a real analogue clock and see where the hands are at 12:20. Think about why the hands are where they are. Draw what you see and then work out the angle between hands.

Play around with an analogue clock for a while adjusting the time manually and think about what is happening.

Can't think what else to suggest.

#### RRITESH KAKKAR

Joined Jun 29, 2010
2,829
The Smaller hour hand goes to Top 12hour
The bigger is at 4 because it is 20 min
The right angle i.e. 12 hour hand and 15 min is 90 degree , plus more 5 min

What else to do with it?

Joined Apr 16, 2011
581
The Smaller hour hand goes to Top 12hour - wrong - go and find a real clock and study it
The bigger is at 4 because it is 20 min - correct

Study a real clock and then try again

#### bertus

Joined Apr 5, 2008
22,263

#### RRITESH KAKKAR

Joined Jun 29, 2010
2,829
Ok, i got it the 12 will move move towards 4/20min

it is making 8degree per min why?

#### RRITESH KAKKAR

Joined Jun 29, 2010
2,829
it is making 8degree per min why?