The formula to calculate the Perimeter of a Circular Sector given its angle and radius is:
\[ P = (\angle_{\text{Sector}} + 2) \times r \]
The Perimeter of a Circular Sector is the total length of all the boundary edges of the circular sector. The Angle of a Circular Sector is the angle between the radial edges of the circular sector or the central angle in which a circle is cut to form the circular sector. The Radius of a Circular Sector is the radius of the circle from which the circular sector is formed.
Let's assume the following values:
Using the formula:
\[ P = (0.698131700797601 + 2) \times 5 = 2.698131700797601 \times 5 = 13.490658503988 \, \text{meters} \]
The Perimeter of the Circular Sector is approximately 13.490658503988 meters.
| Angle of Circular Sector (radians) | Perimeter (meters) |
|---|---|
| 0.5 | 12.500000000000000 |
| 0.6 | 13.000000000000000 |
| 0.7 | 13.500000000000000 |
| 0.8 | 14.000000000000000 |
| 0.9 | 14.500000000000000 |
| 1 | 15.000000000000000 |