The formula to calculate the Chord Length of Circle is:
\[ lc = D \cdot \sin\left(\frac{\angle Central}{2}\right) \]
Chord Length of Circle is the length of a line segment connecting any two points on the circumference of a Circle. Diameter of Circle is the length of the chord passing through the center of the Circle. Central Angle of Circle is an angle whose apex (vertex) is the centre 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:
\[ lc = 10 \cdot \sin\left(\frac{2.9670597283898}{2}\right) = 9.96194698091721 \]
The Chord Length is 9.96194698091721 Meters.
| Diameter (Meters) | Central Angle (Radians) | Chord Length (Meters) |
|---|---|---|
| 8 | 2.9670597283898 | 7.969557584733769 |
| 9 | 2.9670597283898 | 8.965752282825489 |
| 10 | 2.9670597283898 | 9.961946980917212 |
| 11 | 2.9670597283898 | 10.958141679008932 |
| 12 | 2.9670597283898 | 11.954336377100653 |