Arc length calculator
Calculate circular arc length and sector area from radius and a central angle between 0° and 360°.
Formula
s = rθ; sector area = r²θ/2; θ in radians, r in cm.
Radius: 10 cm · Central angle: 90 ° · Arc length ≈ (10 cm × 0.01 m/cm)×(90 ° × 0.01745329252 rad/°)×100 · Sector area ≈ (10 cm × 0.01 m/cm)^2×(90 ° × 0.01745329252 rad/°)÷2×10000
How to use
- Enter the radius and its unit.
- Enter the central angle in degrees or radians.
- Read arc length in cm and sector area in cm².
Examples
- Radius 3 cm and angle 1 rad give arc length 3 cm.
Frequently asked questions
Is this the straight chord?
No. Arc length follows the circle; a chord is the straight segment between endpoints.
What angle should I enter?
Use the central angle for the desired arc, from 0° to 360°.
Can I use radians?
Yes. Select radians; a full circle is 2π radians.
Sources
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