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.


A. about 14 feet


B. about 8 feet


C. about 11 feet


D. about 10 feet

any help?

I got 65.60

Right.

The square root of 65.6 = 8.1

The radius is about 8 feet.

A = pi * r^2

206 = 3.14r^2

206 / 3.14 = r^2

and what do u do next sue?

/ means divide

divide 206 by 3.14

Ms.Sue

The surface area of the top surface of the water in a circular swimming pool is about 188 square feet. Estimate the radius of the pool, to the nearest foot.

To estimate the radius of the pool, we can use the formula for the area of a circle:

A = πr^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 206 square feet. So we have:

206 = πr^2

To solve for r, we need to isolate it on one side of the equation. Divide both sides of the equation by π:

206/π = r^2

To estimate the value of r, let's use the approximate value of π as 3.14:

206/3.14 ≈ r^2

Now, let's calculate the value:

65.61 ≈ r^2

To find the value of r, take the square root of both sides of the equation:

√(65.61) ≈ √(r^2)

r ≈ √(65.61)

r ≈ 8.11

Since we need to round to the nearest foot, the estimated radius of the pool is about 8 feet. Therefore, the correct answer is B. about 8 feet.