Find the angle (in radians) swept by the minute hand of a clock in 25 minutes.

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Accepted Answer

In 60 minutes, the minute hand completes one full revolution, which is 360° or 2π radians.

So, in 1 minute, the angle swept = 2π / 60 = π/30 radians.

In 25 minutes, the angle swept = 25 × (π/30) = 25π/30 = 5π/6 radians.

Therefore, the angle turned by the minute hand in 25 minutes is 5π/6 radians.

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