SyonC281897 SyonC281897
  • 28-10-2022
  • Mathematics
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The area of a circle is 167pi. What is the diameter of the circle?

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MellanyM115596 MellanyM115596
  • 28-10-2022

The area of a circle is given by:

[tex]\begin{gathered} A=\pi r^2 \\ 167\pi=\pi r^2 \\ r=\pm\sqrt[]{167} \\ r=\pm\sqrt[]{167} \\ so\colon \\ r=\sqrt[]{167} \end{gathered}[/tex]

since the diameter is twice the radius:

[tex]d=2\sqrt[]{167}\approx25.846[/tex]

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