Answer:
Step-by-step explanation:
6π
The area of the circle is given as the circumference squared divided by four times π.
A = C²/4π
A = (6π)²/ 4π
Substitute.
A = 36π²/ 4π
Evaluate the power.
A = 9π Simplify.
π
/6
The circumference of the circle squared is equal to four times π times the area.
C
² = 4πA
A = C² /4π
Solve for A.
A =
( π
/6
)²/ 4π
Substitute.
A =
( π
²/36 )/
4π
Evaluate the power.
A =
π²
/36 ×
1/
4π
A =
π/
144
Simplify.
The area of the circle is
π
/144 square units.
