The surface area of the top surface of the water in a circular swimming pool is about 206 square feet. Estimate the radius of the pool, to the nearest foot.
Area = pi * radius squared
206 = 3.14 * r^2
206/3.14 = r^2
65.605 = r^2
8 = r
To estimate the radius of the pool, we can use the formula for the area of a circle:
A = πr²
Given that the surface area of the top surface of the water in the pool is approximately 206 square feet, we can set up the equation:
206 = πr²
Dividing both sides of the equation by π, we get:
r² ≈ 206 / π
Now, we can approximate the value of π as 3.14:
r² ≈ 206 / 3.14
Simplifying, we have:
r² ≈ 65.6
To find the radius, we can take the square root of both sides:
r ≈ √65.6
Using a calculator, we find that the approximate value of √65.6 is 8.10.
Therefore, the estimated radius of the pool is 8 feet, rounded to the nearest foot.
To estimate the radius of the circular swimming pool, we can use the formula for the surface area of a circle.
The formula for the surface area of a circle is: A = π * r^2
Where A is the surface area and r is the radius.
We are given that the surface area of the top surface of the water in the pool is about 206 square feet.
So, we can set up the equation as follows:
206 = π * r^2
To solve for the radius, we need to isolate it on one side of the equation.
Divide both sides of the equation by π:
206/π = r^2
Now, we can take the square root of both sides of the equation to find the radius:
√(206/π) = r
Using a calculator, we can calculate the value of √(206/π) ≈ 8.129.
Therefore, the estimated radius of the pool is approximately 8 feet (rounded to the nearest foot).