The formula to calculate the Angle of a Circular Arc given Arc Length is:
\[ \angle_{Arc} = \frac{l_{Arc}}{r_{Arc}} \]
Where:
The Angle of a Circular Arc is the angle subtended by the end points of a Circular Arc with the center of the circle from which the arc is formed.
The Arc Length of a Circular Arc is the length of a piece of the boundary of a circle cut at a particular central angle.
The Radius of a Circular Arc is the radius of the circle from which the Circular Arc is formed.
Let's assume the following values:
Using the formula:
\[ \angle_{Arc} = \frac{4}{5} \]
Evaluating:
\[ \angle_{Arc} = \frac{4}{5} \]
The Angle of the Circular Arc is 0.8 Radian.
| Arc Length of Circular Arc (Meter) | Radius of Circular Arc (Meter) | Angle of Circular Arc (Radian) |
|---|---|---|
| 3 | 4 | 0.750000000000000 |
| 3 | 4.5 | 0.666666666666667 |
| 3 | 5 | 0.600000000000000 |
| 3 | 5.5 | 0.545454545454545 |
| 3 | 6 | 0.500000000000000 |
| 3.5 | 4 | 0.875000000000000 |
| 3.5 | 4.5 | 0.777777777777778 |
| 3.5 | 5 | 0.700000000000000 |
| 3.5 | 5.5 | 0.636363636363636 |
| 3.5 | 6 | 0.583333333333333 |
| 4 | 4 | 1.000000000000000 |
| 4 | 4.5 | 0.888888888888889 |
| 4 | 5 | 0.800000000000000 |
| 4 | 5.5 | 0.727272727272727 |
| 4 | 6 | 0.666666666666667 |
| 4.5 | 4 | 1.125000000000000 |
| 4.5 | 4.5 | 1.000000000000000 |
| 4.5 | 5 | 0.900000000000000 |
| 4.5 | 5.5 | 0.818181818181818 |
| 4.5 | 6 | 0.750000000000000 |
| 5 | 4 | 1.250000000000000 |
| 5 | 4.5 | 1.111111111111111 |
| 5 | 5 | 1.000000000000000 |
| 5 | 5.5 | 0.909090909090909 |
| 5 | 6 | 0.833333333333333 |