Answer:
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.