The formula for the area of a circle is:

$A = \pi r^2$

where $r$ is the radius. Substituting the given radius $r = 7 \, \text{cm}$:

$A = \pi (7)^2 = \pi \times 49$

Now, using the approximation $\pi \approx 3.1416$:

$A \approx 3.1416 \times 49 = 153.9384 \, \text{cm}^2$

So, the area of the circle is approximately $153.94 \, \text{cm}^2$.

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Here are some related questions:

1. What is the circumference of the circle with the same radius?
2. How would the area change if the radius doubled?
3. What is the area of a semicircle with a radius of 7 cm?
4. How does the formula for the area of a circle