211k views
4 votes
The circumference of a circle is 18TT inches. Which choice represents the exact area. of the circle? A:
81\pi \: {inches}^(2) B:
324\pi \: {inches}^(2)C:
254.34 \: {inches}^(2)D:
1017.36 \: {inches}^(2)

1 Answer

3 votes

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,


A=\pi* r^2

put the value r = 9


\begin{gathered} A=\pi*9^2 \\ A=81*\pi \end{gathered}

the area of the circle is 81 pi

thus the answer is option A

User Carlos Nantes
by
4.0k points