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Question

An accurate clock shows 7 a.m. Through how many degrees will the hour hand rotate when the clock shows 1 p.m.?

The correct answer is

180°

From 7 a.m. to 1 p.m. is a gap of 6 hours. The hour hand completes a full 360° turn in 12 hours, so it moves 30° every hour. In 6 hours, the hour hand rotates 6 × 30° = 180°.

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Important Questions from Angles and measures in degrees and radians

  1. If P = sin20 θ + cos48 θ, then the inequality that holds for all values of θ is

  2. Express \({\pi\over 12}\)  radians in degrees.

  3. Which of the following angles is same as 135° ?
  4. Which of the following is the best approximated degree measure of 4 radians?
  5. 30 degree is equal to _________ radians.

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