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  • 03-11-2022
  • Mathematics
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A crop circle discovered in Cambridge, England, covers approximately 44,100 square feet. What is the approximate diameter of this circle?

A crop circle discovered in Cambridge England covers approximately 44100 square feet What is the approximate diameter of this circle class=

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ThuC350045 ThuC350045
  • 03-11-2022

We have a circle that has an approximate area of 44100 ft².

We have to calculate the diameter.

We can relate diameter D and area A as:

[tex]A=\frac{\pi}{4}D^2[/tex]

We can then calculate D as:

[tex]\begin{gathered} A=\frac{\pi}{4}D^2 \\ D^2=\frac{4A}{\pi} \\ D=\sqrt{\frac{4A}{\pi}} \\ D=\sqrt{\frac{4(44100)}{\pi}} \\ D\approx\sqrt{56149} \\ D\approx237\text{ }ft \end{gathered}[/tex]

Answer: the diameter is approximately 237 ft

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