Sector Area Calculator
Calculate sector area, arc length, and perimeter from radius and central angle. Supports both degrees and radians.
Input Values
010
Sector Diagram
Radius (r)
Arc Length
Angle (θ)
Sector Area
Results
Sector Area (A)
0
A = ½r²θ
Arc Length (s)
0
s = rθ
Perimeter (P)
0
P = s + 2r
Angle Conversion
Degrees:0°
Radians:0 rad
Sector Formulas
A = ½r²θ
Sector area (θ in radians)
s = rθ
Arc length (θ in radians)
P = s + 2r
Perimeter of sector
θ° = θ × 180/π
Radians to degrees
About Sector Calculations
A sector is a "pie slice" portion of a circle, bounded by two radii and an arc. The sector area calculator helps you find the area, arc length, and perimeter of any sector when you know the radius and central angle.
Key Properties
- Sector Area: The space enclosed by the sector
- Arc Length: The curved edge of the sector
- Perimeter: Total boundary length (arc + 2 radii)
- Central Angle: Angle at the center of the circle
Common Angle Values
- 90° = π/2 radians (quarter circle)
- 180° = π radians (semicircle)
- 270° = 3π/2 radians (three quarters)
- 360° = 2π radians (full circle)