Sector perimeter includes the curved arc length plus two radius sides. The arc length is rθ when θ is measured in radians, so the full boundary is 2r+rθ.
⚠Enter the central angle in degrees. The calculator converts it to radians before applying the formula.
How Sector Perimeter Works
A sector is like a slice of a circle. Its boundary has one curved edge and two straight edges from the center to the arc endpoints.
Arc Length
The curved part is rθ.
Two Radii
Each sector has two straight radius sides.
Angle Conversion
Degrees are converted to radians.
Boundary
Perimeter means total outside length.
💡 Example: For r=10 and θ=60°, arc=10.472, perimeter=30.472.
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