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21.9k views
in Trigonometry by (53.3k points)

The minute hand of a clock is 10-cm long. How far does the tip of the hand move in 20 min?

1 Answer

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by (53.1k points)
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Best answer

The minute hand moves through 120° in 20 min or moves through 2π/3 radians. Since the length of the minute hand is 10 cm, the distance moved by the tip of the hand is given by the formula

I = r θ = 10x2π/3 = 20π/3 cm.

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