Sector Area Calculator

Your details

All length inputs and outputs use this unit.
Choose what you want to find. Reverse modes let you back-solve from a known area.
Enter the central angle in degrees (0-360) or radians (0-2π).
Distance from the centre of the circle to the arc.
ft
The angle at the centre between the two radii.
°
A circular segment is the sector with the central triangle removed (the "bite" of pie without the crust edge).
Sector area
13.09ft²
Arc length5.236ft
Chord length5ft
Share of full circle16.67%
Full circle area78.5398ft²

A 60° sector of radius 5 ft covers 13.0900 ft², about 16.7% of the full disc.

  • Sector area is half of r-squared times the angle in radians, equivalent to the fraction of 360 degrees times pi-r-squared.
  • Arc length is 5.236 ft, the curved boundary of the sector.
  • Chord length is 5 ft, the straight line connecting the arc's endpoints.

Next stepSwitch to "Radius" or "Angle" solve mode to back-solve when you know the area but not the missing dimension.

 = Powered by OnlyCalculators