Question

find the area of a circle with diameter 16 cm. 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: Find the radius

The formula for the area of a circle is \(A = \pi r^{2}\), where \(r\) is the radius. Given the diameter \(d = 16\) cm, and \(r=\frac{d}{2}\). So \(r=\frac{16}{2}=8\) cm.

Step2: Calculate the area

Substitute \(r = 8\) cm and \(\pi=3.14\) into the area formula \(A=\pi r^{2}\). Then \(A = 3.14\times8^{2}\). First, calculate \(8^{2}=64\). Then \(A=3.14\times64 = 200.96\) \(cm^{2}\).

Answer:

\(200.96\) \(cm^{2}\)