A chord of a circle the corresponding disk into two circular segments. The perimetre of a circular segment consists thus of the chord () and a circular arc ().
The magnitude of the radius of circle and the magnitude of a central angle naturally determine uniquely the magnitudes of the corresponding arc and chord, and these may be directly calculated from
Conversely, the magnitudes of and () uniquely determine and from the pair of equations (1), but and are generally not in a closed form; this becomes clear from the relationship implied by (1).
The area of a circular segment is obtained by subtracting from [resp. adding to] the area of the corresponding sector the area of the isosceles triangle having the chord as base (http://planetmath.org/BaseAndHeightOfTriangle) [the adding concerns the case where the central angle is greater than the straight angle]:
|Date of creation||2013-03-22 19:05:02|
|Last modified on||2013-03-22 19:05:02|
|Last modified by||pahio (2872)|
|Defines||height of circular segment|