Question

find the area of a circle with a radius of 3 cm.

Explanation:

Step1: Recall the formula for the area of a circle

The formula for the area \( A \) of a circle with radius \( r \) is \( A=\pi r^{2} \).

Step2: Substitute the given radius into the formula

Given that the radius \( r = 3\space\text{cm} \), we substitute \( r = 3 \) into the formula \( A=\pi r^{2} \). So we have \( A=\pi\times(3)^{2} \).

Step3: Simplify the expression

First, calculate \( 3^{2}=9 \). Then, \( A = 9\pi\space\text{cm}^2 \). If we take \( \pi\approx3.14 \), then \( A\approx9\times3.14 = 28.26\space\text{cm}^2 \).

Answer:

The area of the circle is \( 9\pi\space\text{cm}^2 \) (or approximately \( 28.26\space\text{cm}^2 \)).