Answer:
[tex]4.2025\pi\:\mathrm{m^2}[/tex]
Step-by-step explanation:
The area of a circle with radius [tex]r[/tex] is given by [tex]A=r^2\pi[/tex]. In the figure, we're given a diameter of 4.1. All diameters of a circle are exactly 2 times the length of all radii of the circle. Therefore, the radius of the circle is [tex]4.1\cdot \frac{1}{2}=2.05[/tex].
Thus, the area of the circle is [tex]2.05^2\pi=\boxed{4.2025\pi\:\mathrm{m^2}}[/tex]
