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22 September, 01:50

26. Critique Reasoning Two gears on a bicycle have the shape of circles.

Gear 1 has a diameter of 4 inches, and gear 2 has a diameter of 2 inches.

Justin says that the circumference of gear 1 is 2 inches more than the

circumference of gear 2. Do you agree? Explain your answer using

proportional reasoning.

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Answers (1)
  1. 22 September, 02:10
    0
    Answer: I don't agree

    The circumference of a circle is proportional to its diameter, the proportionality constant being π:

    C = πd

    π is a little more than 3.

    The gears' diameters differ by 2 inches. The circumferences (and their difference) will scale proportionally so will differ by 2π inches, which is more than 6 inches.
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