Verified Answer :

To find the area of a circle given its radius, we use the formula:

\(\[ \text{Area} = \pi \times \text{radius}^2 \]\)

In this case, the radius \(\( r \)\) is 8 cm and the value of \(\( \pi \)\) is given as 3.14.

Let's follow the steps to calculate the area:

1. Square the radius:
\(\[ r^2 = 8^2 = 8 \times 8 = 64 \]\)

2. Multiply the squared radius by \(\( \pi \)\):
\(\[ \text{Area} = \pi \times r^2 = 3.14 \times 64 \]\)

3. Perform the multiplication:
\(\[ 3.14 \times 64 = 200.96 \]\)

Therefore, the area of the circle is:

\(\[ 200.96 \, \text{cm}^2 \]\)

Intermediate results:
- Radius squared: 64
- Area: 200.96

So, the area of the circle is \(\( 200.96 \, \text{cm}^2 \)\).