To find the area of a circle when the radius is given, we can use the formula:

$\text{Area} = \pi r^2$

Given:

• Radius, $r = 10 \, \text{cm}$

Calculating the area:

$\text{Area} = \pi \times (10)^2 = \pi \times 100 = 100\pi \, \text{cm}^2$

If we approximate $\pi$ as 3.14159:

$\text{Area} \approx 100 \times 3.14159 = 314.159 \, \text{cm}^2$

So, the area of the circle is approximately 314.16 cm².

Would you like further details, or do you have any questions?

Here are some related questions you might find useful:

1. How would the area change if the radius doubled?
2. What is the formula for the circumference of a circle?
3. How do you find the radius if only the area is given?
4. How does the area change if we use a different unit of measurement?
5. What is the relation between diameter and radius in a circle?

Tip: Remember, the area of a circle grows with the square of the radius, so doubling the radius quadruples the area.