The problem states that the diameter of a circle is 20 cm. We need to find the area of the circle to the nearest whole number.

1. Problem Description

The problem states that the diameter of a circle is 20 cm. We need to find the area of the circle to the nearest whole number.

2. Solution Steps

First, we need to find the radius of the circle. The radius is half of the diameter.

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

Given the diameter $d = 20$ cm, the radius $r$ is:

$r = \frac{20}{2} = 10$ cm.

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

$A = \pi r^2$

Substitute $r = 10$ cm into the area formula:

$A = \pi (10)^2$

$A = \pi (100)$

$A = 100\pi$

Using the approximation $\pi \approx 3.14159$, we have:

$A \approx 100 \times 3.14159$

$A \approx 314.159$

Finally, we round the area to the nearest whole number. Since $314.159$ is closer to $314$ than $315$, we round down to $314$.

3. Final Answer

The area of the circle to the nearest whole number is 314 $cm^2$.