Circle Segment Area Calculator
Find the area between a chord and an arc
Calculate Clear
Circle Segment Area Formula A = r²(θ - sin θ) / 2
A circular segment is the area cut off by a chord. The formula subtracts the isosceles triangle area from the sector area, using θ in radians.
⚠ Enter angle in degrees. This calculator uses the minor segment formula for central angles in standard position.
How Circle Segment Area Works A segment is part of a sector. Removing the triangle formed by two radii and the chord leaves the curved segment area.
Sector
The larger slice bounded by two radii.
Triangle
The straight-sided part under the chord.
Segment
Sector minus triangle.
Radians
The formula uses angle in radians.
💡 Example: For r=10 and θ=60°, A≈9.058.
Applications of Circle Segment Area Tank Levels Arches Lenses Circular Design
Frequently Asked Questions
What is a circle segment area calculator?▼
It calculates the area between a chord and an arc of a circle.
What is the circular segment area formula?▼
For angle θ in radians, A=r²(θ-sinθ)/2.
How do I use this calculator?▼
Enter radius and central angle in degrees, then click Calculate.
Is segment area the same as sector area?▼
No. Segment area equals sector area minus the triangle area.
Where is circular segment area used?▼
It is used in tanks, lenses, arches, fluid levels, and circular design.
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