Question

1. the bottom of a circular swimming pool has an area of 200.96 square feet. what is the radius (in feet) of the swimming pool? use 3.14 for π.

Explanation:

Step1: Recall the area formula of a circle

The area \( A \) of a circle is given by the formula \( A=\pi r^{2} \), where \( r \) is the radius of the circle. We know that \( A = 200.96 \) square feet and \( \pi=3.14 \). So we can substitute these values into the formula: \( 200.96 = 3.14\times r^{2} \).

Step2: Solve for \( r^{2} \)

To find \( r^{2} \), we divide both sides of the equation by \( 3.14 \). So \( r^{2}=\frac{200.96}{3.14} \). Calculating the right - hand side, \( \frac{200.96}{3.14} = 64 \).

Step3: Solve for \( r \)

Since \( r^{2}=64 \), we take the square root of both sides. We know that \( r=\sqrt{64} \) (we consider the positive square root because radius is a non - negative quantity). And \( \sqrt{64}=8 \).

Answer:

The radius of the swimming pool is 8 feet.