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  • 14-08-2018
  • Mathematics
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If the diameter of a circle with a circumference of 22.75 inches is doubled, what would be the circumference of a new circle

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Аноним Аноним
  • 14-08-2018

Let's solve this probem in general, to understand the underlying concept.

The circumference of a circle, knowing its radius, is given by

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

So, if the radius is doubled, we map [tex] r \mapsto 2r [/tex] and the circumference becomes

[tex] C' = 2 \pi (2r) = 2 (2 \pi r) = 2C [/tex]

So, if you double the radius, the circumference doubles as well, and so it becomes

[tex] 22.75 \mapsto 45.5 [/tex]

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