Question

find the area of a circle with radius 6 ft. use the value 3.14 for π, and do not round your answer. be sure to include the correct unit in your answer.

Explanation:

Step1: Write the formula for the area of a circle

The formula for the area of a circle is \(A=\pi r^{2}\), where \(r\) is the radius.

Step2: Substitute the given values into the formula

Given \(r = 6\) ft and \(\pi=3.14\), we substitute these values into the formula: \(A = 3.14\times6^{2}\).
First, calculate \(6^{2}=6\times6 = 36\).
Then, \(A=3.14\times36\).

Step3: Perform the multiplication

\(3.14\times36=(3 + 0.14)\times36=3\times36+0.14\times36=108 + 5.04=113.04\).

Answer:

\(113.04\) square feet.