CALCULATOR
Perimeter of a Sector Calculator
Find sector arc plus both radii. Example: Radius: 2 m, Central angle (degrees): 90 degrees gives 7.14159265359 m. Strictly nonzero sector angle below 360 degrees; includes two straight sides. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation.
Strictly nonzero sector angle below 360 degrees; includes two straight sides. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation. Derivation: Arc is θ/360 of circumference; add 2r.
Accepted inputs: Radius: 0.001 to 1,000 m; Central angle (degrees): 0.001 to 359.999 degrees.
How the calculation works
P = r(2+πθ/180)
Worked example
With radius 2 m, central angle (degrees) 90 degrees, sector arc plus both radii is 7.141592654 m.
Assumptions and limits
Strictly nonzero sector angle below 360 degrees; includes two straight sides. Flat Euclidean geometry; enter stated meter measurements. No material thickness, waste, structural recommendation or curved earth. Display rounding does not change calculation. Derivation: Arc is θ/360 of circumference; add 2r.