The radius of the circle is 3 and the circumference of the circle is 6π. Find the area of the circle.

1. The area of ​​a circle of radius R is calculated by the formula:
S = π * R².
By condition, it is known that R = 3, substitute this value into the formula and find the area of ​​the circle:
S = π * 3² = 9 * π.
Since the answer is to write down the area divided by π, we will find this value:
S / π = (9 * π) / π = (reduce the numerator and denominator of the fraction by π) = 9.
Answer: 9.

2. The length of the bounding circle of a circle is found by the formula:
C = 2 * π * R.
By the condition C = 6 * π, substitute this value into the formula and find the radius of the circle:
2 * π * R = 6 * π;
R = (6 * π) / (2 * π);
R = 3.
The area of ​​a circle of radius R is calculated by the formula:
S = π * R² = π * 3² = 9 * π.
S / π = (9 * π) / π = 9.
Answer: 9.