Question

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.

Answer 1

Ca = 4cb

Explanation:

Answer 2

Correct answer: C. Ca = 4 Cb

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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