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Finding the Length of an Arc

Avg difficulty 2.5

Assume the orbit of Mercury around the sun is a perfect circle. Mercury is approximately 36 million miles from the sun.

  1. ⓐ In one Earth day, Mercury completes 0.0114 of its total revolution. How many miles does it travel in one day?
  2. ⓑ Use your answer from part (a) to determine the radian measure for Mercury’s movement in one Earth day.

OpenStax Algebra and Trigonometry 2e, 7.1 Angles, exercise 15

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.