To calculate the area of a circle, we use the formula:

$A = \pi r^2$

Where:

• $A$ is the area of the circle,
• $r$ is the radius of the circle, and
• $\pi$ is approximately 3.1416.

Given that the radius is 7, we can plug the value into the formula:

$A = \pi \times 7^2$ $A = \pi \times 49$ $A \approx 3.1416 \times 49$ $A \approx 153.94$

So, the area of the circle is approximately 153.94 square units.

Would you like more details on the formula, or is there another question you have?

Here are some follow-up questions:

1. How does changing the radius affect the area of a circle?
2. What would happen to the area if the radius was doubled?
3. Can the area of a circle be calculated using the circumference? How?
4. What is the formula for the circumference of a circle?
5. How can we estimate $\pi$ for more accuracy in calculations?

Tip: When dealing with circles, remember that the radius is key—squaring the radius in the area formula makes the circle’s area grow quickly as the radius increases.