LilianahH479369 LilianahH479369
  • 25-10-2022
  • Mathematics
contestada

what happens to a circle's circumference when the radius is doubled

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OluwademiladeA593320 OluwademiladeA593320
  • 25-10-2022

ANSWER

The circumference doubles

EXPLANATION

Let the radius of the circle be r and the circumference be C.

The circumference of a circle is given as:

[tex]C=2\pi r[/tex]

If the radius is doubled, the radius becomes:

[tex]2r[/tex]

The circumference now becomes:

[tex]\begin{gathered} C^{\prime}=2\pi\cdot(2r) \\ C^{\prime}=2\cdot(2\pi\cdot r) \\ C^{\prime}=2\cdot(2\pi r) \\ C^{\prime}=2C \end{gathered}[/tex]

Therefore, the circumference doubles when the radius is doubled.

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