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Sector Area Calculator

Calculate sector area, segment area, arc length, chord, and perimeter

Sector Area Calculator

Understanding Sectors

A sector is a "pie slice" portion of a circle, bounded by two radii and an arc. The sector area depends on the radius and central angle. A segment is the region between the chord and the arc.

Key Terms:

  • Sector: Region bounded by two radii and an arc
  • Segment: Region between chord and arc
  • Central Angle: Angle at the center of the circle
  • Arc: Curved edge of the sector

Sector Formulas

A = (1/2)r²θ
Sector area (radians)
A = (θ/360)πr²
Sector area (degrees)
P = 2r + rθ
Sector perimeter
A = (1/2)r²(θ-sinθ)
Segment area