The area of a circle is represented by the equation:
[tex] A=\pi r^{2} [/tex]
We know that the diameter is two times the radius: [tex] d=2r [/tex]
So if we know that the diameter of the circle is 24m, we can divide this by two in order to get the radius:
[tex] 24m=2r [/tex] -->[tex] r=12m [/tex]
So then we can plug this radius in to the equation for the area of a circle:
[tex] A=\pi (12)^{2} [/tex]
[tex] A=144\pi [/tex]
We are told to use 3.14 as pi, and not pi itself, so let's plug in 3.14 for pi:
[tex] A=3.14(144) [/tex]
[tex] A=452.16m^{2} [/tex]
Now we know that the area of this circle is 452.16 square meters.