Respuesta :

we know that

the circumference of a circle is giving by

[tex]C=2\pi r[/tex]

we have

C=30pi

substitute

[tex]\begin{gathered} 30\pi=2\pi r \\ \text{simplify} \\ r=\frac{30}{2} \\ r=15\text{ units} \end{gathered}[/tex]

Find the area of the circle

[tex]A=\pi r^2[/tex]

substitute the value of r

[tex]\begin{gathered} A=\pi(15^2) \\ A=225\pi\text{ unit\textasciicircum{}2} \end{gathered}[/tex]

the area is 225π square units