Answer:
The area is equal to [tex]5.29 \pi\ m^{2}[/tex]
Step-by-step explanation:
Step 1
Find the radius r
we know that
the circumference of a circle is equal to
[tex]C=2\pi r[/tex]
In this problem we have
[tex]C=4.6 \pi\ m[/tex]
Substitute in the formula and solve for r
[tex]4.6 \pi=2\pi r[/tex]
[tex]r=4.6/2=2.3\ m[/tex]
Step 2
Find the area
we know that
The area of a circle is equal to
[tex]A=\pi r^{2}[/tex]
substitute the value of r
[tex]A=\pi (2.3^{2})=5.29 \pi\ m^{2}[/tex]
