Calculate the area of a portion of a circle cut off by a chord.
Circle Dimensions
Calculation Results
28.54
Segment Area
The area of the shaded region between the chord and the arc.
Chord Length14.14
Arc Length15.71
About this calculator
What is a Circular Segment?
A circular segment is a region of a circle which is 'cut off' from the rest of the circle by a secant or a chord. More formally, it is the region bounded by an arc of the circle and the chord connecting the endpoints of the arc.
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Pro Tips
Ensure the angle θ is in radians for the formula.
If you have the central angle in degrees, multiply by π/180 to convert to radians.
A segment is smaller than a sector; it's the sector area minus the triangle formed by the radius and chord.
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Fun Facts
"The term 'segment' comes from the Latin 'segmentum', meaning 'a piece cut off'."
"In architectural design, arched windows often take the shape of circular segments."
"Calculating the area of a segment is vital for engineers determining the volume of liquid in a horizontal cylindrical tank."
