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An Archimedean spiral of one convolution from a pole, with the radius growing from 10 mm to 70 mm, increases per 30 degrees by

  • A.5 mm
  • B.6 mm
  • C.60 mm
  • D.2.5 mm

Answer: A

Correct answer: 5 mm

One convolution is 360 degrees, which is twelve intervals of 30, and the radius grows from 10 to 70 mm over it: \[ \frac{70 - 10}{12} = \frac{60}{12} = 5\ \mathrm{mm}. \] Because the growth is uniform with angle, the same 5 mm is added at every step, which is what makes the construction so simple.

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