Segment Area Calculator

Your details

Pick whichever pair of measurements you already know. The calculator solves for everything else.
The radius of the full circle from which the segment is cut.
cm
The angle at the circle centre subtended by the chord. Must be between 0 and 360 degrees.
degrees
Segment area
28.5398cm²

Area enclosed between the chord and the arc

Arc length15.708cm
Chord length14.1421cm
Segment height (sagitta)2.9289cm
Perimeter29.8501cm
Central angle90degrees
Fraction of circle0.09%

Segment area: 28.5398 cm²

  • The segment area is 28.5398 cm², which is 9.08% of the full circle area (314.1593 cm²).
  • This is a minor segment. The central angle is less than 180 degrees, so the segment is the smaller of the two regions created by the chord.
  • The chord spans 14.1421 cm and the arc rises 2.9289 cm above the chord midpoint.

Next stepFor a 3D application such as a partially filled cylindrical tank, multiply the segment area by the cylinder length to get the volume of liquid.

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