Question

Find the area of a circle with a circumference of \color{blue}{6\pi}6πstart color blue, 6, pi, end color blue.

Answer 1

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