The problem asks to find the area of a circle, given that its diameter is 8 cm. The answer must be rounded to the nearest whole number.

1. Problem Description

The problem asks to find the area of a circle, given that its diameter is 8 cm. The answer must be rounded to the nearest whole number.

2. Solution Steps

First, we need to find the radius of the circle. The radius $r$ is half of the diameter $d$:

$r = \frac{d}{2}$

Given that the diameter $d = 8$ cm, the radius is:

$r = \frac{8}{2} = 4$ cm

Next, we calculate the area $A$ of the circle using the formula:

$A = \pi r^2$

Substituting $r = 4$ cm into the formula:

$A = \pi (4)^2 = 16\pi$

We can approximate $\pi$ as 3.

1

4

1

5

9. $A = 16 \times 3.14159 = 50.26544$

Finally, we round the area to the nearest whole number:

$A \approx 50$

3. Final Answer

The area of the circle, rounded to the nearest whole number, is 50 $cm^2$.