Direct Proportion calculations in clock angles

Direct Proportion calculations in clock angles

Our favorite game in mathematics is matching one topic to another.

That's why we're going to play around with the clock angles in direct proportion.

How is the clock divided? Is it 12 o'clock?

How is an hour divided? 60 minutes?

Can we calculate the direct proprotion by relating this minute and angle?

Shouldn't the minute hand pass 60 minutes to reach one hour on the clock? It's a full circle. I mean 360⁰? So 60 minutes is the duration for 360⁰ degrees?

Now the question is how many angular measurements per minute. If you divide 360⁰ by 60, you will know! That's right, aren't we good at direct proportionality? Why shouldn't we tabulate angle and minute?

Angle	360	x
Minute	60	1

We have ratioed 60 min to 360⁰ angle. We have marked x above it because it is how many degrees of angle per minute. What is right?

Now let's find the answer i.e. the value of x by equating the ratios and cross multiplying them.

360⁰ / 60 = x / 1

6⁰ = x

x = 6⁰

So 6⁰ per minute? If the minute hand passes every minute, does it pass 6⁰?

Is that all? Can you make more accounts with this?

You put it on. By how many degrees will the minute hand pass through 12 minutes? How many degrees will be covered in 30 minutes? Try creating many questions like this. Are you familiar with angles and proportionality by now? So enjoy and play.

Why leave with just minutes? Play in the hour too.

If there are 12 hours in a day then find how many degree angle the hour hand has to traverse if one hour has to pass. Then keep putting how many degrees of angle to cover to pass 3 o'clock, to pass 5 o'clock, to pass 10 o'clock.

Why stop with hours? Do the calculations without wasting a second.

Do you like this game?

I will explain the angles in a simpler way by using a protractor. That is what we are going to see next.

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