The image provides a question asking to find the area of a circle with a given radius of 8 inches.

The formula for the area $A$ of a circle is:

$A = \pi r^2$

Where:

• $r$ is the radius of the circle
• $\pi$ is approximately 3.14159

Substituting the given radius $r = 8$ inches:

$A = \pi (8)^2 = \pi \times 64 \approx 3.14159 \times 64 \approx 201.06 \, \text{square inches}$

So, the area of the circle is approximately $201.06 \, \text{square inches}$.

Would you like more details on this, or do you have any questions?

Here are 5 related questions:

1. How does the area change if the radius is doubled?
2. What is the circumference of a circle with a radius of 8 inches?
3. How would you calculate the area of a semicircle with the same radius?
4. What is the formula for the volume of a sphere with radius $r$?
5. If the radius was given in centimeters, how would you convert the area to square inches?

Tip: The area of a circle increases with the square of the radius, so even a small increase in radius results in a much larger area!