The scale dimensions of a circle with a diameter of 25 yards can be found by first determining the radius and then calculating relevant properties such as circumference and area.
-
Radius: The radius is half of the diameter. \[ \text{Radius} = \frac{\text{Diameter}}{2} = \frac{25 \text{ yards}}{2} = 12.5 \text{ yards} \]
-
Circumference: The circumference (C) of a circle is calculated using the formula: \[ C = \pi \times \text{Diameter} \approx 3.14 \times 25 \text{ yards} \approx 78.5 \text{ yards} \]
-
Area: The area (A) of a circle can be calculated using the formula: \[ A = \pi \times \left( \text{Radius} \right)^2 \approx 3.14 \times (12.5 \text{ yards})^2 \approx 3.14 \times 156.25 \text{ square yards} \approx 490.87 \text{ square yards} \]
So, for a circle with a diameter of 25 yards:
- Radius: 12.5 yards
- Circumference: approximately 78.5 yards
- Area: approximately 490.87 square yards