The formula to calculate the Chord Length of Circle given Inscribed Angle is:
\[ l_c = 2r \cdot \sin(\angle_{\text{Inscribed}}) \]
The Chord Length of a Circle is the length of a line segment connecting any two points on the circumference of a Circle. The Radius of a Circle is the length of any line segment joining the center and any point on the Circle. The Inscribed Angle of a Circle is the angle formed in the interior of a circle when two secant lines intersect on the Circle.
Let's assume the following values:
Using the formula:
\[ l_c = 2 \cdot 5 \cdot \sin(1.4835298641949) = 9.96194698091721 \]
The Chord Length of the Circle is 9.96194698091721 meters.
| Radius (meters) | Inscribed Angle (radians) | Chord Length (meters) |
|---|---|---|
| 4 | 1.4835298641949 | 7.969557584733769 |
| 4.5 | 1.4835298641949 | 8.965752282825489 |
| 5 | 1.4835298641949 | 9.961946980917212 |
| 5.5 | 1.4835298641949 | 10.958141679008932 |
| 6 | 1.4835298641949 | 11.954336377100653 |