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Geometry
Geometry

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Question 1

What angles do the hour hand and the minute hand of a clock turn through in five hours?

Answer

Every hour the minute hand turns through 360°. It will have made five such revolutions in five hours. This amounts to 1800°.

The hour hand turns through 30° every hour ( of 360°). In five hours it will turn through 5 × 30° = 150°.

Question 2

Give an alternative notation for labelling each of these angles in the diagram below.

  • (a) α

  • (b) β

  • (c)

  • (d) ACD

Answer

  • (a) or CAB.

  • (b) or BCA.

  • (c) γ or DAC.

  • (d) δ or .