Question

A crop circle discovered in Cambridge, England, covers approximately 44,100 square feet. What is the approximate diameter of this circle?

Answer 1

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:

`A=(\pi)/(4)D^2`

We can then calculate D as:

`\begin{gathered} A=(\pi)/(4)D^2 \\ D^2=(4A)/(\pi) \\ D=\sqrt{(4A)/(\pi)} \\ D=\sqrt{(4(44100))/(\pi)} \\ D\approx√(56149) \\ D\approx237\text{ }ft \end{gathered}`

Answer: the diameter is approximately 237 ft