The circumference of a circle is 18.84 cm. What is the area of the same circle? (Hint: Calculate the diameter, then the radius, then the area)
6 square centimeters
9.42 square centimeters
28.26 square centimeters
113.04 square centimeters
The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle.
Given that the circumference is 18.84 cm, we can solve for the radius:
18.84 = 2πr
r = 18.84 / (2π)
r ≈ 3 cm
Now that we have the radius, we can calculate the area of the circle using the formula A = πr^2:
A = π(3)^2
A = 9π
A ≈ 28.26 square centimeters
Therefore, the area of the circle is approximately 28.26 square centimeters.