Question

find the area of a circle with a radius of 4 cm.

Explanation:

Step1: Recall the formula for the area of a circle

The formula for the area \( A \) 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 that the radius \( r = 4\space\text{cm} \), we substitute \( r = 4 \) into the formula \( A=\pi r^{2} \). So we have \( A=\pi\times(4)^{2} \).

Step3: Calculate the value

First, calculate \( 4^{2}=16 \). Then, \( A = 16\pi\space\text{cm}^2 \). If we use \( \pi\approx3.14 \), then \( A\approx16\times3.14 = 50.24\space\text{cm}^2 \).

Answer:

The area of the circle is \( 16\pi\space\text{cm}^2 \) (or approximately \( 50.24\space\text{cm}^2 \)).