Question

1. if the area of a circle is 201.06 cm², what is the diameter?

Explanation:

Step1: Recall the area formula of a circle

The area formula of a circle is \(A = \pi r^{2}\), where \(A\) is the area and \(r\) is the radius. Given \(A = 201.06\space cm^{2}\) and \(\pi\approx3.14\).

Step2: Solve for the radius \(r\)

Substitute the values into the formula: \(201.06=3.14r^{2}\). Then \(r^{2}=\frac{201.06}{3.14} = 64.031847\approx64\). So \(r=\sqrt{64}=8\space cm\).

Step3: Calculate the diameter \(d\)

Since the diameter \(d = 2r\), and \(r = 8\space cm\), then \(d=2\times8 = 16\space cm\).

Answer:

\(16\space cm\)