The surface area of the top surface of the water in a circular swimming pool is about 188 square feet. Show your work to find the radius of the pool.
π * r^2 = 188
To find the radius of the pool, we need to calculate the area of the top surface of the water using the given surface area value.
The formula to calculate the area of a circle is: A = π * r^2, where A is the area and r is the radius.
In this case, the given surface area of the top surface of the water is given as 188 square feet.
So, we can rewrite the formula as: 188 = π * r^2
To solve for r, we first need to divide both sides of the equation by π:
188 / π = r^2
Next, we take the square root of both sides to isolate r:
√(188 / π) = r
Using a calculator, we can evaluate the square root and divide 188 by π to get the approximate value of r:
r ≈ √(188 / π) ≈ √(59.792) ≈ 7.74 feet
Thus, the radius of the circular swimming pool is approximately 7.74 feet.