ACT Math : How to find the angle of clock hands

Study concepts, example questions & explanations for ACT Math

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Example Questions

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Example Question #491 : Plane Geometry

On a standard analog clock, what is the angle between the hands when the clock reads ? Give the smaller of the two angles.

Possible Answers:

Correct answer:


To find the degrees of a clock hand, first find the angle between each hour-long sections. Since there are  evenly spaced sections, we find that each section has an angle of: . at  the hour hand has gone one-third of the way between the and . Thus there are two-thirds of  between the hour hand and the . .


There are  between  and , where the minute hands is. Thus there's a total of  between the hands.

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