📐 Geometry

Circle Sector Area Calculator

Calculate a sector’s area and arc length from radius and angle.

°

Results

Sector area
52.3598775598
Arc length
10.471975512
Chord length
10

📊 Circle Sector Area Calculator chart

Proportional breakdown of the result.

What is the Circle Sector Area Calculator?

Calculate a sector’s area and arc length from radius and angle. These geometry calculators work out area, perimeter, volume and surface area for common shapes. Units are flexible — enter every length in the same unit and the answer comes back in that unit (squared or cubed).

Circle Sector Area Calculator – free online geometry tool illustration
Circle Sector Area Calculator — free, exact and private.

How to use the Circle Sector Area Calculator

  1. Enter your radius, your central angle.
  2. Results update automatically as you type; you can also press Calculate.
  3. Read the output: sector area, arc length, chord length.
  4. Use the 📊 chart to see the result visually, then copy or share it.

Formula and method

A = (θ ÷ 360) × πr² Arc = (θ ÷ 360) × 2πr

Worked example

With radius = 10, central angle = 60 °, the Circle Sector Area Calculator returns sector area: 52.3598775598; arc length: 10.471975512; chord length: 10.

Tips for better results

  • Keep all measurements in one unit before calculating.
  • Area units are squared (m², ft²) and volume units are cubed (m³, ft³).
  • Use our area and volume converters to switch units afterwards.

Frequently asked questions

What does the Circle Sector Area Calculator do?

Calculate a sector’s area and arc length from radius and angle.

How is it calculated?

The Circle Sector Area Calculator uses this method: A = (θ ÷ 360) × πr²; Arc = (θ ÷ 360) × 2πr.

Can you show an example?

With radius = 10, central angle = 60 °, the Circle Sector Area Calculator returns sector area: 52.3598775598; arc length: 10.471975512; chord length: 10.

Is the Circle Sector Area Calculator accurate?

Yes. It uses standard formulas and exact constants, and the results are verified by our automated test suite. Values are displayed to up to 12 significant digits.

Is this tool free and private?

Yes — the Circle Sector Area Calculator is completely free with no sign-up, and it runs entirely in your browser, so the values you enter are never uploaded to our servers.

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