Circular segment


Circular Segment Formulas

The circular segment angle `\theta` is measured in radian in formulas below. To convert from radian to degree and Vice a Versa, you may use our calculator or formulas given below.

Circular Sector Area `A=R^2/2*(\theta-sin(\theta))`

Arc length `s = R*\theta`

Chord length `c=2*R*sin(\theta/2)`

Center-chord distance `d = R*cos(\theta/2)`

Segment height `h=R-d=R*(1-cos(\theta/2))`

Segment Perimeter `P=c+s=R*(\theta + 2*sin(\theta/2))`

Degree-radian conversion Formulas

To convert from radian to degree,
`\theta_(deg) = \theta_(rad) * 180/pi`

To convert from degree to radian,
`\theta_(rad) = \theta_(deg) * pi/180`

You may also use our calculator : Angle unit conversion

See also

Plane Geometry calculators
Geometry calculators
Mathematics calculators