Question

4 - 21. kelsos mom wants to put a floating blanket over the familys circular wading pool to keep the heat in and the leaves out. the pool has a diameter of 10 feet. a. how many square feet of blanket will kelsos mother need? b. if the pool supply store charges $0.10 per square foot for the blanket, how much will the material for the blanket cost?

Explanation:

Step1: Find the radius of the pool

The formula for the area of a circle is \(A = \pi r^{2}\), and the diameter \(d = 10\) feet. Since \(r=\frac{d}{2}\), then \(r=\frac{10}{2}=5\) feet.

Step2: Calculate the area of the pool (which is the area of the blanket needed)

Using \(A=\pi r^{2}\) with \(\pi\approx3.14\) and \(r = 5\) feet. So \(A=3.14\times5^{2}=3.14\times25 = 78.5\) square feet. This answers part a.

Step3: Calculate the cost of the blanket

The cost per square - foot is \(0.10\) dollars. If the area \(A = 78.5\) square feet, then the cost \(C=0.10\times A\). Substitute \(A = 78.5\) into the formula: \(C=0.10\times78.5 = 7.85\) dollars. This answers part b.

Answer:

a. \(78.5\) square feet
b. \(\$7.85\)