Question

1. if the area of a circle is 201.06 cm², fins its diameter. diameter = cm

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 taking \(\pi = 3.14\).
So, \(201.06=3.14r^{2}\).

Step2: Solve for \(r^{2}\)

Divide both sides of the equation \(201.06 = 3.14r^{2}\) by \(3.14\):
\(r^{2}=\frac{201.06}{3.14}=64.031847\approx64\).

Step3: Solve for \(r\)

Take the square - root of \(r^{2}\). Since \(r>0\) (radius is a non - negative quantity), \(r=\sqrt{64} = 8\space cm\).

Step4: Calculate the diameter

The diameter \(d\) of a circle is related to the radius by the formula \(d = 2r\).
Substitute \(r = 8\space cm\) into the formula: \(d=2\times8=16\space cm\).

Answer:

\(16\)