A circle has a radius of 7 cm. What is the area of the circle?

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

Learn how to calculate the area of a circle with a radius of 7 cm using the formula A = πr². The area is approximately 153.94 cm², covering essential geometry concepts. This solution is ideal for students in Grades 6-8.

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