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What is the measure, in degrees, of the acute angle formed by the minute hand and the hour hand on a standard clock when it indicates 9:45?

 Feb 12, 2021
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Using  the  top  of  the clock  as   0°

 

The  minute  hand  moves  360°  in every hour......so in 45 min  = 3/4  hr  it  has  moved  360 * 3/4  = 270°  from the top of the clock

 

The  hour  hand  moves  30°    in one  hour

At  9,  the  hour  hand  is  at  270°....so in 3/4 of an hour  it  is  at   270 + (3/4)(30)   = 292.5°

 

So.....the  angle  between  them  is     292.5  -  270  =   22.5°

 

 

cool cool cool

 Feb 12, 2021

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