We know that the area of a circle is represented by the equation:
\(A=\pi r^{2}\)
And we know that the diameter of a circle is twice the radius: \(d=2r\)
So if we know that the diameter is 13m, we can solve for the radius:
\(13m=2r\) --> \(r=6.5m\)
Then we can plug in this radius into the equation for the area of a circle, using 3.14 to approximate the value of pi:
\(A=(3.14)(6.5)^{2}\)
\(A=(3.14)(42.25)\)
\(A=132.665m^{2}\)
So now we know that the area of the circle is 132.665 square meters.
