Multiple choice

The angle made by the minute-hand of a clock in going from 4:45 p.m. to 6:15 p.m. is

  1. 540°

  2. 470°

  3. 360°

  4. 220°
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A Correct answer
Explanation

From 4:45 to 6:15 is 1 hour and 30 minutes, which is 90 minutes. The minute hand moves 360 degrees in 60 minutes, so it moves 6 degrees per minute. 90 minutes * 6 degrees/minute = 540 degrees.

AI explanation

Using the formula for degrees per minute, the minute hand moves 360 degrees in 60 minutes, giving a rate of 6 degrees per minute. The total time elapsed from 4:45 p.m. to 6:15 p.m. is 1 hour and 30 minutes, which equals 90 minutes. Multiplying 90 minutes by 6 degrees per minute yields a total rotation of 540 degrees.

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