Final answer:
The area of a circle with a diameter of 24 centimeters is calculated using the formula πr², with the radius being half the diameter. The area of Waskahat's medallion is approximately 452.39 square centimeters.
Step-by-step explanation:
The student's question regarding the medallion's area involves finding the area of a circle with a diameter of 24 centimeters. To calculate the area, we use the formula πr², where r is the radius of the circle. Since the diameter is given as 24 centimeters, the radius would be half of that, which is 12 centimeters. Therefore, the area of the circle would be π × (12 cm)².
Here's the step-by-step calculation:
- Radius (r) = Diameter/2 = 24 cm / 2 = 12 cm
- Area (A) = πr² = π × (12 cm)² = π × 144 cm²
- A = 3.1416 × 144 cm² (Using π ≈ 3.1416)
- A ≈ 452.39 cm²
Therefore, the area of Waskahat's medallion is approximately 452.39 square centimeters.