Question

the radius of a circle is 4 kilometers. what is the area?
give the exact answer in simplest form.
square kilometers

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 of the circle.

Step2: Substitute the given radius into the formula

Given \(r = 4\) km. Substitute \(r=4\) into the formula: \(A=\pi\times(4)^{2}\).

Step3: Calculate the value of \(r^{2}\)

\((4)^{2}=4\times4 = 16\). So, \(A = 16\pi\).

Answer:

\(16\pi\)