The floor of a circular pool has an area of 28 m² what is the radius of the pool rounded to the nearest whole meter?
The area of a circle is given by the formula $A=\pi r^2$, where $A$ is the area and $r$ is the radius of the circle. We are given that $A=28\text{ m}^2$. Substituting this into the formula gives us $28 = \pi r^2$. Solving this equation for $r$ gives $r^2 = \frac{28}{\pi} \approx 8.92$. Taking the square root of both sides gives $r \approx \sqrt{8.92} \approx 2.99$, which rounds to $\boxed{3}$ when rounded to the nearest whole meter.
To find the radius of a circular pool with a given area, you can use the formula:
Area of a circle = π * r^2
Given that the area of the pool is 28 m², we can plug it into the formula:
28 = π * r^2
To find the radius (r), we need to isolate it. Divide both sides of the equation by π:
28 / π = r^2
Simplify the equation:
r^2 = 8.917
To solve for r, take the square root of both sides of the equation:
√(r^2) = √8.917
r ≈ 2.99
So, the radius of the pool, rounded to the nearest whole meter, is 3 meters.
To find the radius of the circular pool, we can use the formula for the area of a circle:
Area = π * (radius)^2
In this case, we know that the area of the pool is 28 m². Rearranging the formula, we can solve for the radius:
(radius)^2 = Area / π
radius = sqrt(Area / π)
Substituting the value for the area, we get:
radius = sqrt(28 / π)
Now, let's calculate the radius:
radius ≈ sqrt(8.917)
Using a calculator, we find that the radius is approximately 2.99 meters.
Rounding this value to the nearest whole meter, the radius of the pool is 3 meters.