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27 January, 07:22

The radius of circle A is 4 times greater than the radius of circle B. Which of the following statements is true?

A. The circumference of circle B is 4 times greater than the circumference of circle A.

B. The circumference of circle B is 16 times greater than the circumference of circle A.

C. The circumference of circle A is 4 times greater than the circumference of circle B.

D. The circumference of circle A is 16 times greater than the circumference of circle B.

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Answers (1)
  1. 27 January, 08:20
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    Correct answer: C. Ca = 4 Cb

    Step-by-step explanation:

    Given: Ra = 4 Rb

    Ca : Cb = ?

    Using the following formula to calculate the circumference of a circle:

    C = 2 R π

    Cb = 2 Rb π

    Ca = 2 Ra π = 2 · (4 · Rb) · π = 4 · (2 Rb π) = 4 · Cb

    Ca = 4 · Cb

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