Circular Segment Calculator

Area, arc length, chord from any two values

Quick Answer

Circular Segment Calculator: Area, arc length, chord from any two values. Circular Segment Calculator uses standard geometry formulas to compute accurate results instantly.

Enter any one value, the rest auto-solve

Radius r

Central angle θ (°)

Sagitta hauto

Chord cauto

Segment area Aauto

Diagram (updates live with input)

Step-by-step

θ = 90.0000° = 1.5708 rad

矢高 h = r(1 − cos(θ/2)) = 10.0000 × 0.2929 = 2.9289

弦长 c = 2r·sin(θ/2) = 2 × 10.0000 × 0.7071 = 14.1421

A = r²(θ − sinθ)/2 = 10.0000² × 0.5708 / 2 = 28.5398

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How to Use

Enter known values: fill sides, radius or angles in the Circular Segment Calculator.
Auto-solve the rest: all unknowns are solved instantly — no manual derivation.
See formula and steps: the result panel shows the formula used and the substitution.
Try another case: change any known value to solve again.

Key Points

Circular Segment Calculator is a free online geometry tool — open and use, no sign-up.
All calculations run locally in your browser; your data never leaves the device.
Key capability: Area, arc length, chord from any two values.
Results come with formulas and reference tables so you can verify every number.

Formula & How It Works

Circular Segment Calculator formula

Circular Segment Calculator uses standard geometry formulas to compute accurate results instantly.

FAQ

How do I use the Circular Segment Calculator?

Open the page and fill in the input fields — results update automatically. Area, arc length, chord from any two values.

Are the results accurate?

Yes. Standard formulas and conversion factors are used and verified.

Is it free? Do I need to sign up?

Completely free. No registration, login or download required.

Does it work on mobile?

Yes. The responsive design works on phones, tablets and desktops.

Is my data saved?

No. Everything runs locally in your browser.

Related Guides

Source & Updates

Based on standard Euclidean geometry formulas. Last updated: 2025-07

Last updated: 2026-08-07

Formulas and content on this page are reviewed by the YiJianSuan team. For reference only — official sources prevail.

Cite this page: YiJianSuan. Circular Segment Calculator[EB/OL]. https://www.yijiansuan.com/en/c/geometry/circular-segment

Results provided by this tool are for reference only and do not constitute professional advice.