The formula for the circumference of a circle is 2πr, where r is the radius of the circle. Since the circumference is given as 9π, we can set up the equation:
2πr = 9π
Solving for r, we get:
r = 9π / 2π
r = 4.5 m
Now we can use the formula for the area of a circle, which is A = πr^2, to find the area:
A = π(4.5)^2
A = π(20.25)
A = 20.25π
Therefore, the area of the circle is 20.25π square meters.
The circumference of a circle is 9π m. What is the area, in square meters? Express your answer in terms of piπ.
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