The area of a circle is 18pi square meters. What is the radius (leaving answer in simplest radical form)
pi*R^2 = 18*pi
R^2 = 18
R = 3*sqrt2 m^2 = = 4.24 m^2
That would be in m, not m^2 :-(
Duh. you are correct. Thank you
2012 was a while ago
To find the radius of a circle, we can use the formula for the area of a circle:
Area = π * Radius^2
In this case, the area of the circle is given as 18π square meters.
So we can write the equation as:
18π = π * Radius^2
To find the radius, we need to isolate it.
First, we divide both sides of the equation by π to cancel out the π on the right side:
(18π) / π = (π * Radius^2) / π
The π on the right side cancels out, leaving:
18 = Radius^2
Next, we take the square root of both sides:
√18 = √(Radius^2)
Since we are looking for the radius and not the negative value, we can ignore the negative square root.
Therefore, the simplified radical form of the radius is:
Radius = √18
We can simplify the square root of 18 by factoring it into the product of its prime factors:
√18 = √(2 * 3 * 3) = √(2 * 3^2) = √(2) * 3 = √2 * 3
Hence, the radius, in simplest radical form, is √2 * 3.