CALCULATOR
Sector Area Calculator
Find sector area from radius and central angle. Example: Radius: 2 m, Central angle (degrees): 90 degrees gives 3.14159265359 m². θ in degrees strictly between 0 and 360; full disk is a separate circle tool. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation.
θ in degrees strictly between 0 and 360; full disk is a separate circle tool. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation. Derivation: Sector occupies θ/360 of complete disk.
Accepted inputs: Radius: 0.001 to 1,000 m; Central angle (degrees): 0.001 to 359.999 degrees.
How the calculation works
A = πr²θ/360
Worked example
With radius 2 m, central angle (degrees) 90 degrees, sector area from radius and central angle is 3.141592654 m².
Assumptions and limits
θ in degrees strictly between 0 and 360; full disk is a separate circle tool. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation. Derivation: Sector occupies θ/360 of complete disk.