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?
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.
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!