How to Use the Arc & Sector Calculator
Enter the radius and central angle to calculate arc length, sector area, chord length, and angle conversion all at once. Both degrees and radians are supported.
Key Formulas
Arc length: L = r × θ (θ in radians)
Sector area: A = ½ × r² × θ
Chord length: chord = 2r × sin(θ/2)
Degrees to radians: θ_rad = θ_deg × π / 180
Example
Pizza slice: radius 6 in, angle 45° → Arc length = 6 × (π/4) ≈ 4.71 in. Sector area = ½ × 36 × (π/4) ≈ 14.14 in².
FAQ
What if the angle exceeds 360°?
A sector is defined within 0°–360°. An angle beyond 360° would exceed a full circle, so an error is displayed.
What is the chord length?
The chord is the straight line connecting the two endpoints of the arc. It is calculated as 2r × sin(θ/2).