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  • 13-09-2017
  • Mathematics
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Represent the area of the Circle as a function of its circumference

Represent the area of the Circle as a function of its circumference class=

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jdoe0001 jdoe0001
  • 13-09-2017
[tex]\bf \textit{circumference of a circle}\\\\ C=2\pi r\qquad \qquad \boxed{\cfrac{C}{2\pi }=r} \\\\\\ \textit{area of a circle}\\\\ A=\pi r^2\implies A=\pi \left( \boxed{\cfrac{C}{2\pi} } \right)^2\implies A=\pi \cdot \cfrac{C^2}{2^2\pi^2}\implies A=\cfrac{C^2}{4\pi }[/tex]
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