What is the area, in square units, of a circle that has a circumference
12
π
12\pi
12
π
units long?
6
π
6\pi
6
π
12
π
12\pi
12
π
24
π
24\pi
24
π
36
π
36\pi
36
π
144
π
144\pi
144
π
Summary
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C
=
2
π
r
C =2\pi r
C
=
2
π
r
12
π
=
2
π
r
12\pi = 2\pi r
12
π
=
2
π
r
r
=
6
r = 6
r
=
6
A
=
π
r
2
A=\pi r^2
A
=
π
r
2
A
=
π
(
6
)
2
A = \pi (6)^2
A
=
π
(
6
)
2
=
36
π
= \boxed{36\pi}
=
36
π