We know that the area of the circle can be calculated using the formula:
[tex]A=\pi r^2[/tex]If we know that a certain circle has an area equal to 64π m², we can determine the radius of the circle as follows:
-First, replace the formula with the known area:
[tex]\begin{gathered} A=\pi r^2 \\ 64\pi=\pi r^2 \end{gathered}[/tex]-Second, divide both sides of the equation by π:
[tex]\begin{gathered} \frac{64\pi}{\pi}=\frac{\pi r^2}{\pi} \\ 64=r^2 \end{gathered}[/tex]-Third, apply the square root to both sides of the equal sign to determine the length of the radius:
[tex]\begin{gathered} \sqrt[]{64}=\sqrt[]{r^2} \\ 8=r \end{gathered}[/tex]The radius of the circle is r=8m
The diameter of any circle is twice the radius, so that:
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