Effortlessly calculate the arc length of a circular segment with our Sagitta Arc Length Calculator. Input your sagitta (h) and radius (R) to quickly determine the precise length of the arc. Ideal for engineering, design, and geometry students, this tool simplifies complex geometric calculations.
Formula:
The arc length (s) can be calculated using the radius (R) and sagitta (h) with the following steps:
- 1. Calculate the half-angle: θ/2 = arccos((R - h) / R)
- 2. Calculate the central angle: θ = 2 * arccos((R - h) / R) (in radians)
- 3. Calculate the arc length: s = R * θ
Where:
s = Arc Length
R = Radius of the circle
h = Sagitta (height of the arc)