The area $A$ of a circle is given by the formula:

$A = \pi r^2$

Where:

• $r$ is the radius of the circle
• $\pi$ is approximately 3.1416

Given that the radius $r = 7 \, \text{cm}$, we can substitute this value into the formula:

$A = \pi (7)^2 = \pi \times 49 \approx 3.1416 \times 49 = 153.94 \, \text{cm}^2$

Thus, the area of the circle is approximately 153.94 cm².

Would you like more details or further explanation?

Here are 5 related questions:

1. How would the area change if the radius was doubled?
2. What is the circumference of a circle with a radius of 7 cm?
3. How does the area formula for a circle compare to the formula for the circumference?
4. If the area of a circle is given, how can you find its radius?
5. What is the area of a sector with a 60° angle from the center in this circle?

Tip: Always remember that the area of a circle grows quadratically with the radius—doubling the radius quadruples