The circumference of a circle is 18TT inches. Which choice represents the exact area. of the circle? A: [tex]81\pi \: {inches}^{2} [/tex] B: [tex]324\pi \: {inches}^{2} [/tex]C: [tex]254.34 \: {inches}^{2} [/tex]D: [tex]1017.36 \: {inches}^{2} [/tex]

Respuesta :

the circumference of the circle is,

2 x pi x r = 18 x pi

r = 18/2

r = 9

so the radius of the circle is 9

we know that the area of the circle is,

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

put the value r = 9

[tex]\begin{gathered} A=\pi\times9^2 \\ A=81\times\pi \end{gathered}[/tex]

the area of the circle is 81 pi

thus the answer is option A