Respuesta :

The swimming pool has a circular shape and its area = 206 ft²
We should know that the area of the circle = π r²
where r is the radius of the circle 

solve to find r
∴ π r² = 206 ⇒⇒ divide both sides over π
∴ r² = 206/π
∴ r = √(206/π) = 8.098  or -8.098 ( the negative is unacceptable)
∴ r = 8.098 ≈ 8 ft ( to the nearest foot)

The correct answer is option 4

To solve this problem you must apply the formula for calculate the surface area of a circle, which is shown below:
 SA=πr^2
 Where r is the radius of the circle.
 You have that the surface area is 206 feet^2 . Therefore, you must solve for r,as following:
 SA=πr^2
 r=√(SA/π)
 r=√(206 feet^2)/π)
 r=8 feet
 The answer is 8 feet.
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