Clock Angle at 3:15

Brain Teasers
Clocks
Easy
At , what is the smaller angle between the hands of an analog clock, in degrees?
Hint 1

The minute hand points at , i.e. .

Hint 2

The hour hand moves per minute.

Show worked solution
  1. 1. Positions

    Minute hand: . Hour hand: .

  2. 2. Angle

  3. 3. Key idea

    Remember the hour hand keeps moving between hour marks.

Answer: 7.5

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