Radius And Chord Length To Angle Converter
Conversion Table (radius = 2)
| Radius | Chord Length | Angle | Unit |
|---|---|---|---|
| 2 | 0 | 0.000000 | degrees |
| 2 | 2 | 60.000000 | degrees |
| 2 | 2.82842712474619 | 90.000000 | degrees |
| 2 | 4 | 180.000000 | degrees |
How This Converter Works
Calculates the minor central angle from a positive radius and chord length in the same length unit. Chord length must be from zero through the diameter (2r); larger values are invalid. The selected result unit can be radians, degrees, gradians, or turns, and output has six decimals.
Formula or rule
angleRadians = 2 * asin(chordLength / (2 * radius))
Example
- Input
- Radius 2; chord length 2; degrees selected
- Calculation
- 2 * asin(2/(2*2)) = pi/3 radians; (pi/3) * 180 / pi
- Result
- 60.000000 degrees