The formula to calculate the Radius of a Circle given its arc length and central angle is:
\[ r = \frac{l_{\text{Arc}}}{\angle_{\text{Central}}} \]
Radius of Circle is the length of any line segment joining the center and any point on the Circle. Arc Length of Circle is the length of a piece of curve cut from the circumference of the Circle at a particular central angle. Central Angle of Circle is an angle whose apex (vertex) is the center O of a Circle and whose legs (sides) are radii intersecting the circle in two distinct points.
Let's assume the following values:
Using the formula:
\[ r = \frac{15}{2.9670597283898} \approx 5.05550995703763 \]
The Radius of the Circle is approximately 5.05550995703763 meters.
| Arc Length (meters) | Radius (meters) |
|---|---|
| 10 | 3.370339971358420 |
| 11 | 3.707373968494262 |
| 12 | 4.044407965630104 |
| 13 | 4.381441962765946 |
| 14 | 4.718475959901788 |
| 15 | 5.055509957037630 |
| 16 | 5.392543954173473 |
| 17 | 5.729577951309314 |
| 18 | 6.066611948445156 |
| 19 | 6.403645945580998 |
| 20 | 6.740679942716840 |