Instantly compute the area, chord length, arc length, and height of any circular segment online.
Chord (c) • Arc (s) • Height (h)
Segment Area (A)
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Step 01
Input the radius (r) from the center of the circle to the perimeter.
Step 02
Provide the central angle (θ) in degrees subtending the segment arc.
Step 03
Instantly get the segment area, chord length, arc length, and segment height.
Step 04
Expand the details to review the mathematical formula breakdown step by step.
| Property | Formula | Description |
|---|---|---|
| Segment Area (A) | A = 0.5 · r² · (θ - sin(θ)) | Area between the arc and the chord. |
| Chord Length (c) | c = 2 · r · sin(θ / 2) | Straight line connecting the arc endpoints. |
| Arc Length (s) | s = r · θrad | Curved boundary length of the segment. |
Ensure the central angle is specified in standard degrees (0 to 360).
Keep the radius unit consistent to ensure the area computes in correct square units.
The chord length is always shorter than the arc length because it cuts straight across.
Legal Disclaimer:The calculators provided on this website serve exclusively as educational reference guides for learning and planning purposes. Absolute accuracy or liability for error-free outcomes is disclaimed.
A circle segment (circular segment) is an area of a circle bounded by a chord and an arc lying between the chord's endpoints.
It is calculated by taking the area of the corresponding sector and subtracting the area of the triangular portion formed by the two radii and the chord.
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