We want to find the diameter of a circle which has an area = 209.
The formula to find area of a circle is:
[tex]A=\pi r^2[/tex]Where
A is the area
r is the radius
Let's find the radius, first by putting in value of Area and doing some algebra. Shown below:
[tex]\begin{gathered} A=\pi r^2 \\ 209=\pi r^2 \\ r^2=\frac{209}{\pi} \\ r=\sqrt[]{\frac{209}{\pi}} \\ r=8.156 \end{gathered}[/tex]THis is the radius.
We know
diameter is TWICE the radius, so
diameter = 2 * 8.156
diameter = 16.312
Rounding to nearest tenth (1 decimal place), we have
