Answer:
[tex]A=9\pi\ yd^2[/tex]
Step-by-step explanation:
step 1
Find the radius of the circle
we know that
The circumference is equal to
[tex]C=2\pi r[/tex]
we have
[tex]C=6\pi\ yd[/tex]
substitute
[tex]6\pi=2\pi r[/tex]
Solve for r
[tex]r=3\ yd[/tex]
step 2
Find the area
The area of a circle is equal to
[tex]A=\pi r^{2}[/tex]
we have
[tex]r=3\ yd[/tex]
substitute
[tex]A=\pi (3)^{2}[/tex]
[tex]A=9\pi\ yd^2[/tex]
