Question

q. a contractor has been hired to install flooring in a concert hall in the shape of a circle that is 21 feet across. how many square feet of flooring will be required? use 3.14 for π. a. 346.19 square feet b. 32.97 square feet c. 65.94 square feet d. 1,384.74 square feet

Explanation:

Step1: Find the radius of the circle

The diameter \(d = 21\) feet. The radius \(r=\frac{d}{2}\), so \(r=\frac{21}{2}=10.5\) feet.

Step2: Calculate the area of the circle

The formula for the area of a circle is \(A=\pi r^{2}\). Substitute \(r = 10.5\) and \(\pi=3.14\) into the formula.
\(A=3.14\times(10.5)^{2}\)
First, calculate \((10.5)^{2}=10.5\times10.5 = 110.25\)
Then, \(A=3.14\times110.25=346.185\approx346.19\) square feet

Answer:

A. 346.19 square feet