Final answer:
The area of a circle can be calculated using the formula A = πr². For a circle with an 8-inch diameter, the area is 16π square inches. With a radius of 6 inches, the area is 36π square inches, and with a 10-meter diameter, the area is 25π square meters.
Step-by-step explanation:
Calculating the area of a circle involves using the formula A = πr², where A is the area and r is the radius of the circle. π (pi) is approximately 3.14159.
1. If the diameter of a circle is 8 inches, the radius (r) is half of that, which would be 4 inches. The area A of the circle would be π(4 inches)² = 16π square inches.
2. For a circle with a radius of 6 inches, the area would be π(6 inches)² = 36π square inches.
3. When the diameter of the circle is 10 meters, the radius is 5 meters. The area A would then be π(5 meters)² = 25π square meters.