Respuesta :

calculista

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]

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