EVERYDAY PLANNING · VERSION 1.0.0

Arc Length Calculator

Find an arc length and sector area from radius and angle.

Instant calculationCompare five scenariosJSON + CSV exports

Your inputs

Calculation results

Formula & assumptions

Arc = rθ; sector = r²θ/2, with θ in radians.

Values use the specified units. Calculations use floating-point arithmetic. Check input measurements and formula assumptions before applying the result.

Compare your scenarios

Save up to five results to compare changes side by side. Scenarios stay in this tab until you clear or reload it.

Using Arc Length Calculator

Find an arc length and sector area from radius and angle.

Enter radius, angle using the units printed under each field.
Choose Calculate, or enable live updates. Review the result labels and formula assumptions.
Save scenarios to compare up to five variations, then copy the report or download JSON or CSV.

Example

Radius: 10 cm
Angle: 60 degrees
Arc length · cm: 10.471976
Sector area · cm²: 52.359878
Fraction of circle: 0.16666667

Questions & answers

What does Arc Length Calculator calculate?

Find an arc length and sector area from radius and angle.

Which units should I enter?

Radius uses cm. Angle uses degrees. Convert values to these units before calculating.

Which formula does it use?

Arc = rθ; sector = r²θ/2, with θ in radians.

What does the included example show?

Radius: 10 cm; Angle: 60 degrees. Result: Arc length · cm = 10.471976; Sector area · cm² = 52.359878; Fraction of circle = 0.16666667.

Can I compare different settings?

Yes. Save a scenario, change the inputs and save another result. Up to five scenarios are compared in this tab; they disappear when you reload or leave.

Can I export the calculation?

Copy the JSON report or download JSON and CSV with inputs, result labels and numeric values. Processing uses local JavaScript; no calculation request is sent to our server. Displayed values use up to 10 significant digits; exports retain JavaScript numeric precision.