Sector Area Calculator
Calculate the area of a circle sector using radius and central angle.
📐 Sector Parameters
Radius (r)
units
Central Angle
°
🧮 Angle Unit
Using degrees
🔢 Output Unit
Unit: m²
⚠️
Sector 0
Sector Area
0 m²
fraction of circle
Radius 0 units
Central Angle
Arc Length 0 units
Fraction of Circle 0%

📊 Calculation Breakdown

How the formula works

Sector Area = (θ / 360°) × πr²  |  Arc Length = (θ / 360°) × 2πr
  • r = Radius of the circle
  • θ = Central angle (in degrees or radians)
  • Sector Area = Fraction of the circle's total area
  • Full Circle Area = πr²
  • Arc Length = Portion of the circumference
  • Full Circle = 360° or 2π radians
  • Radians to Degrees = radians × 180°/π
  • Degrees to Radians = degrees × π/180°