By definition, the circumference of a circle is given by: C = 2πR. Where, R: radius of the circle. Substituting we have: 6π = 2πR We cleared R: R = (6π) / (2π) R = 3 Then, look for the area of the circle which will be given by: A = πR ^ 2 Substituting the values: A = π (3) ^ 2 A = 9π units ^ 2 Answer: The area of the circle is: A = 9π units ^ 2
