Question

a circular garden has a radius of 3 meters. what is the area of the garden? write your answer using π. show your work.

Explanation:

Step1: Recall 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 \(r = 3\) meters. Substitute \(r=3\) into \(A=\pi r^{2}\), we get \(A=\pi\times(3)^{2}\).

Step3: Calculate the value

\((3)^{2}=3\times3 = 9\), so \(A = 9\pi\) square meters.

Answer:

The area of the circular garden is \(9\pi\) square meters.