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How many times in a 24-hour day will the hour and minute hands of a 12-hour analog clock form a 90-degree angle?

 Apr 19, 2021
 #1
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There are three hands on a clock. The number of occurrences of right angles between the hour and minute hands in a 24-hour period is 44.

 Apr 19, 2021
 #2
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explain please

Guest Apr 19, 2021
 #3
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Let us think like that: How many times for 12 hours do the two hands meet? 11. You can imagine this: the first time to short hand is between 12 and 1, the second time between 1 and 2, etc. Between two meets they make a right angle exactly twice, this is 11*2 = 22 times right angle per 12h.

Now we have 22*2 = 44 times per 24h. And yes, we can double since at 12pm the two heads are one above the other as in the very start at 12am.

 

Hope it helped!

XxMysteriousGirlxX  Apr 19, 2021
edited by XxMysteriousGirlxX  Apr 19, 2021
edited by XxMysteriousGirlxX  Apr 19, 2021

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