The circumference of a circle is 60π cm. What is the area of the circle to the nearest whole number? Do NOT include units of measure in your answer.
The formula to calculate the circumference of a circle is C = 2πr, where r is the radius of the circle. Since the circumference is given as 60π cm, we can set up the equation as:
60π = 2πr
Solving for r, we get:
r = 60π / 2π
r = 30 cm
Now that we have the radius of the circle, we can calculate the area using the formula A = πr^2:
A = π(30)^2
A = π(900)
A = 900π
To get the area to the nearest whole number, we can approximate π to 3. So, the area of the circle is:
900 * 3 = 2700
Therefore, the area of the circle to the nearest whole number is 2700.