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In 2 hours, the minute hand of a clock rotates through an angle of90°180°360°720°

Question

In 2 hours, the minute hand of a clock rotates through an angle of:

  • 90°
  • 180°
  • 360°
  • 720°
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Solution

Break Down the Problem

  1. Determine how far the minute hand rotates in a complete hour.
  2. Calculate the total angle the minute hand rotates in 2 hours.

Relevant Concepts

  • The minute hand of a clock completes one full rotation (360 degrees) in 60 minutes (1 hour).

Analysis and Detail

  1. Full rotation in one hour:

    • The minute hand completes 360° in 1 hour.
  2. Rotation in 2 hours:

    • In 2 hours, the minute hand would rotate: 360°×2=720° 360° \times 2 = 720°

Verify and Summarize

The calculation shows that the rotation of the minute hand is 720° in 2 hours, which confirms the findings.

Final Answer

The minute hand of a clock rotates through an angle of 720° in 2 hours.

This problem has been solved

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