Answer:
900/π square centimeters or 286.62 square centimeters
Explanation:
The circumference of a circle is given by the formula:
C = 2πr
where C is the circumference and r is the radius of the circle.
We are given that the circumference is 60 cm, so we can set up the equation:
60 = 2πr
Solving for r, we get:
r = 60/(2π) = 30/π
The area of a circle is given by the formula:
A = πr^2
Substituting the value of r, we get:
A = π(30/π)^2 = 900/π square centimeters
Therefore, the area of the circle is approximately 286.62 square centimeters, rounded to two decimal places.