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CIRCLE GEOMETRY / WEDGE

Sector Area Calculator

Calculate circular-sector area, boundary perimeter, and arc length from a positive radius and central angle.

  • 01 Calculated in this tab
  • 02 Values stay in this browser tab
  • 03 Use boundary

Conversion input

Known value

Filter by unit name, symbol, or code. Your current selections remain available.

Preparing the calculator...

Use boundary

Calculation path

The central-angle share of a full turn scales circle area and circumference; two radii complete perimeter.

Calculation path

Sector area = pi r^2 x angle / 360.

What you provide

What you provide

  • Circle radius: Distance from sector center to curved edge.
  • Central angle: Sector angle from 0 through 360 degrees.

What you receive

What you receive

  • Sector area
  • Arc length and total perimeter
  • Percentage of full circle

Use boundary

Choose the maximum decimal places shown. This does not increase source accuracy.

The sector uses a perfect circle and a degree angle; a zero-degree sector produces zero area and arc.

This is an educational planning result, not a structural, electrical, thermal, solar, battery, generator, or safety design. Confirm specifications, units, codes, and professional requirements before acting.