Arc Length Calculator
Calculate arc length, sector area, and chord length with interactive circle visualization
Ergebnisse
Geben Sie Werte ein und klicken Sie auf Berechnen, um das Ergebnis zu sehen.
Theory & Formula
What is Arc Length?
Arc length is the distance along the curved line of a circle between two points.
Formulas
Arc Length:
\(s = r\theta \quad (\theta \text{ in radians})\)Sector Area:
\(A = \frac{1}{2}r^2\theta\)Chord Length:
\(c = 2r\sin\left(\frac{\theta}{2}\right)\)Degrees to Radians:
\(\theta_{rad} = \theta_{deg} \times \frac{\pi}{180}\)Example
Find arc length for r=10, θ=60°:
\(\theta = 60° = 60 \times \frac{\pi}{180} = \frac{\pi}{3} \text{ rad}\)\(s = r\theta = 10 \times \frac{\pi}{3} \approx 10.47 \text{ units}\)\(A = \frac{1}{2}r^2\theta = \frac{1}{2} \times 10^2 \times \frac{\pi}{3} \approx 52.36 \text{ square units}\)