Find the Radius

The radius of a circle is half of its diameter. Therefore, we divide the given diameter by 2: $r = \frac{28}{2} = 14\text{ cm}$.

$r = \frac{28}{2} = 14\text{ cm}$

Apply the Area Formula

Substitute the value of the radius $r = 14\text{ cm}$ and $\pi = \frac{22}{7}$ into the area formula of a circle: $\text{Area} = \pi r^2$.

$\text{Area} = \frac{22}{7} \times (14)^2$

Calculate the Final Value

Simplify the expression by expanding $14^2$ as $14 \times 14$, cancel out the denominator, and multiply to find the final area in square centimeters.

$\text{Area} = \frac{22}{7} \times 14 \times 14 = 22 \times 2 \times 14 = 616\text{ cm}^2$