sydc1215
sydc1215 sydc1215
  • 25-02-2019
  • Mathematics
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Help please show work

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Аноним Аноним
  • 25-02-2019

This exercise is asking for the area of a circle with a given circumference. The plan of action is the following:

  1. Derive the radius from the circumference
  2. Use the radius to compute the area.

The first step is

[tex] C = 2\pi r \iff r = \dfrac{C}{2\pi} [/tex]

The second step is

[tex] A = \pi r^2 = \pi \dfrac{C^2}{4\pi^2} = \dfrac{C^2}{4\pi} [/tex]

So, the area is

[tex] \dfrac{870^2}{4\pi} = \dfrac{756900}{4\pi} \approx 60232[/tex]

Answer Link

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