We know that the area of a circle is represented by the equation:
[tex] A=\pi r^{2} [/tex]
And we know that the diameter of a circle is twice the radius: [tex] d=2r [/tex]
So if we know that the diameter is 13m, we can solve for the radius:
[tex] 13m=2r [/tex] --> [tex] r=6.5m [/tex]
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:
[tex] A=(3.14)(6.5)^{2} [/tex]
[tex] A=(3.14)(42.25) [/tex]
[tex] A=132.665m^{2} [/tex]
So now we know that the area of the circle is 132.665 square meters.
