The formula to calculate the Chord Length of Circle (lc) is:
\[ lc = 2 \times r \times \sin\left(\frac{\text{∠Central}}{2}\right) \]
Where:
Chord Length of Circle is the length of a line segment connecting any two points on the circumference of a Circle.
Radius of Circle is the length of any line segment joining the center and any point on 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:
\[ lc = 2 \times r \times \sin\left(\frac{\text{∠Central}}{2}\right) \]
Evaluating:
\[ lc = 2 \times 5 \times \sin\left(\frac{2.9670597283898}{2}\right) \]
The Chord Length of Circle is 9.96194698091721 meters.
| Radius of Circle (meters) | Central Angle of Circle (radians) | Chord Length of Circle (meters) |
|---|---|---|
| 4 | 2.5 | 7.591876954844690 |
| 4 | 2.6 | 7.708465483337544 |
| 4 | 2.7 | 7.805786862613273 |
| 4 | 2.8 | 7.883597839907682 |
| 4 | 2.9 | 7.941703928300708 |
| 4 | 3 | 7.979959892832436 |
| 4 | 3.1 | 7.998270113514856 |
| 4 | 3.2 | 7.996588824332041 |
| 4 | 3.3 | 7.974920227631350 |
| 4 | 3.4 | 7.933318483619749 |
| 4.5 | 2.5 | 8.540861574200276 |
| 4.5 | 2.6 | 8.672023668754736 |
| 4.5 | 2.7 | 8.781510220439932 |
| 4.5 | 2.8 | 8.869047569896143 |
| 4.5 | 2.9 | 8.934416919338297 |
| 4.5 | 3 | 8.977454879436490 |
| 4.5 | 3.1 | 8.998053877704212 |
| 4.5 | 3.2 | 8.996162427373546 |
| 4.5 | 3.3 | 8.971785256085269 |
| 4.5 | 3.4 | 8.924983294072216 |
| 5 | 2.5 | 9.489846193555863 |
| 5 | 2.6 | 9.635581854171930 |
| 5 | 2.7 | 9.757233578266591 |
| 5 | 2.8 | 9.854497299884603 |
| 5 | 2.9 | 9.927129910375886 |
| 5 | 3 | 9.974949866040545 |
| 5 | 3.1 | 9.997837641893570 |
| 5 | 3.2 | 9.995736030415051 |
| 5 | 3.3 | 9.968650284539187 |
| 5 | 3.4 | 9.916648104524686 |
| 5.5 | 2.5 | 10.438830812911448 |
| 5.5 | 2.6 | 10.599140039589123 |
| 5.5 | 2.7 | 10.732956936093251 |
| 5.5 | 2.8 | 10.839947029873063 |
| 5.5 | 2.9 | 10.919842901413473 |
| 5.5 | 3 | 10.972444852644600 |
| 5.5 | 3.1 | 10.997621406082928 |
| 5.5 | 3.2 | 10.995309633456555 |
| 5.5 | 3.3 | 10.965515312993107 |
| 5.5 | 3.4 | 10.908312914977154 |
| 6 | 2.5 | 11.387815432267034 |
| 6 | 2.6 | 11.562698225006315 |
| 6 | 2.7 | 11.708680293919908 |
| 6 | 2.8 | 11.825396759861523 |
| 6 | 2.9 | 11.912555892451062 |
| 6 | 3 | 11.969939839248653 |
| 6 | 3.1 | 11.997405170272284 |
| 6 | 3.2 | 11.994883236498062 |
| 6 | 3.3 | 11.962380341447025 |
| 6 | 3.4 | 11.899977725429622 |