The area A of a circle with radius r is given by:
[tex]A=\pi r^2[/tex]
Substitute A = 804.25 cm² into the equation above.
Therefore,
[tex]\begin{gathered} 804.25=\pi r^2 \\ Hence \\ r^2=\frac{804.25}{\pi} \\ r=\sqrt{\frac{804.25}{\pi}}\approx16.00 \end{gathered}[/tex]
The diameter d of a circle of radius r is given by:
[tex]\begin{gathered} d=2r \\ \end{gathered}[/tex]
Substituting r = 16, it follows that:
[tex]d=2\left(16\right)=32cm[/tex]
Therefore, the diameter of the circle is 32 cm.
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