Sector Area Calculator

Sector Area Calculator - Multi-Tools Website

Sector Area Calculator

Radius (r) units
60°
Radius (r) units
Arc Length (L) units
Circle Area (A) square units
60°

Results

Formulas Used

  • Sector Area = (θ/360°) × πr²
  • Sector Area = (L/2πr) × πr²
  • Sector Area = (θ/360°) × A

Where:

  • θ = central angle in degrees
  • r = radius
  • L = arc length
  • A = circle area
Sector Area
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square units
Arc Length
-
units
Radius
-
units
Central Angle
-
degrees
About Circular Sectors

A circular sector is a portion of a circle enclosed by two radii and an arc. The area of a sector is proportional to the central angle that subtends it.

  • When the angle is 360°, the sector becomes a full circle
  • When the angle is 180°, the sector becomes a semicircle
  • The arc length is proportional to the central angle
  • The sector area is proportional to the central angle
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