The formula to calculate the Perimeter of a Circular Sector given the Circumference of the Circle is:
\[ \text{Perimeter} = \left(\frac{\text{Circumference of Circle} \times \text{Angle of Circular Sector}}{2 \pi}\right) + (2 \times \text{Radius}) \]
The Perimeter of a Circular Sector is the total length of all the boundary edges of the Circular Sector. The Circumference of the Circle of the Circular Sector is the total length of the boundary of the circle from which the Circular Sector is formed. The Angle of the Circular Sector is the angle between the radial edges of a Circular Sector or the central angle in which a circle is cut to form the Circular Sector. The Radius of the Circular Sector is the radius of the circle from which the Circular Sector is formed.
Let's assume the following values:
Using the formula:
\[ \text{Perimeter} = \left(\frac{30 \times 0.698131700797601}{2 \pi}\right) + (2 \times 5) \approx 13.3333333333327 \, \text{meters} \]
The Perimeter of the Circular Sector is approximately 13.3333333333327 meters.
| Circumference of Circle (meters) | Perimeter (meters) |
|---|---|
| 25 | 12.777777777777256 |
| 26 | 12.888888888888347 |
| 27 | 12.999999999999439 |
| 28 | 13.111111111110528 |
| 29 | 13.222222222221619 |
| 30 | 13.333333333332709 |
| 31 | 13.444444444443800 |
| 32 | 13.555555555554889 |
| 33 | 13.666666666665979 |
| 34 | 13.777777777777070 |
| 35 | 13.888888888888161 |