You make a good argument about people growing up with digital clocks not understanding a clock face.
Maybe if you fill in the area covered you could more easily see it’s relation to pie charts.
A clock face is actually 3 pie charts on top of each other, indicating the ratio between hours, minutes, and seconds left in a sequence.
It might not be intuitive that it only covers half of the hours in a day (12) but then covers all minutes in an hour (60) and seconds in a minute (also 60).
By looking at the long hand (minutes) you can see the fraction of an hour that has elapsed if you color in the area between the “12” at the top, and for example, the “6” at the bottom. That would be half an hour. Or if the hand was in the “3” it would be a quarter hour, and you and see at a glance that a good majority of the hour is still remaining.
Seconds work the same way, with the skinny hand. For minutes and seconds you can just ignore the big numbers (or multiply then by 5 because 12 * 5 is 60).
But because the hours only cover half a day the ratio covers only half of that day, but you can still use the clock to decipher how much time has elapsed (or is left) between midday and midnight.
Having grown up with digital clocks, and only sweated through the difficult lessons of learning to read a clock face and not used them practically, even at school, you may not have realized this ratio (staring at the clock waiting for class to finish does not obviously indicate this property because classes are not evenly divided into hours)
Maybe if you fill in the area covered you could more easily see it’s relation to pie charts.
A clock face is actually 3 pie charts on top of each other, indicating the ratio between hours, minutes, and seconds left in a sequence.
It might not be intuitive that it only covers half of the hours in a day (12) but then covers all minutes in an hour (60) and seconds in a minute (also 60).
By looking at the long hand (minutes) you can see the fraction of an hour that has elapsed if you color in the area between the “12” at the top, and for example, the “6” at the bottom. That would be half an hour. Or if the hand was in the “3” it would be a quarter hour, and you and see at a glance that a good majority of the hour is still remaining.
Seconds work the same way, with the skinny hand. For minutes and seconds you can just ignore the big numbers (or multiply then by 5 because 12 * 5 is 60).
But because the hours only cover half a day the ratio covers only half of that day, but you can still use the clock to decipher how much time has elapsed (or is left) between midday and midnight.
Having grown up with digital clocks, and only sweated through the difficult lessons of learning to read a clock face and not used them practically, even at school, you may not have realized this ratio (staring at the clock waiting for class to finish does not obviously indicate this property because classes are not evenly divided into hours)