Geometry Intermediate

Arc Length & Sector Area

Enter a radius and central angle (degrees or radians) to find arc length, sector area, and chord length. The sector is highlighted on the diagram.

Degrees or radians
Arc, sector, chord
Shaded sector diagram
Input
Try:
Result
Enter radius and central angle.
Step-by-Step Solution
Sector Diagram
Key Formulas (θ in radians)
Arc length s = rθ Sector area A = ½r²θ Chord length = 2r·sin(θ/2) Degrees → radians: θ_rad = θ_deg·π/180
In Degrees

Arc length: s = rπθ/180

Sector area: A = πr²θ/360

These are just the radian formulas after substituting θ_rad = θ_deg·π/180.

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