LeylaW651569 LeylaW651569
  • 03-11-2022
  • Mathematics
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Find the exact area of la circle if its circumference is 367 cm.

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CherokeeD229530 CherokeeD229530
  • 03-11-2022

Given the circumference to be 367 cm.

Recall that the formula for the circumference of a circle is given as;

[tex]\begin{gathered} C=2\pi r \\ \Rightarrow367=2\pi r \end{gathered}[/tex]

If we make r the subject of the formula,

[tex]r=\frac{367}{2\pi}[/tex]

The area of a circle is given as;

[tex]\begin{gathered} A=\pi r^2 \\ \Rightarrow\pi(\frac{367}{2\pi})^2=\frac{\pi}{4\pi^2}(367)^2=10718.21 \end{gathered}[/tex]

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