Find the area of the circle with a circumference of 30pi.Use 3.14 for pi.Round your answer to the nearest hundredth.
To find the area of a circle, we can use the formula A = πr^2, where A represents the area and r represents the radius of the circle. In this case, we are given the circumference of the circle, which is 30π.
To find the radius (r) of the circle, we need to use the formula for circumference, which is C = 2πr.
Given that the circumference is 30π, we can set up the equation 2πr = 30π and solve for r.
Dividing both sides of the equation by 2π, we get r = 15.
Now that we have the radius, we can substitute it into the formula for area, A = πr^2, to find the area of the circle.
A = π(15)^2
A = π(225)
A ≈ 706.86
Rounding the answer to the nearest hundredth, the area of the circle is approximately 706.86 square units.