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circular segment : ウィキペディア英語版
circular segment
In geometry, a circular segment (symbol: ) is a region of a circle which is "cut off" from the rest of the circle by a secant or a chord. More formally, a circular segment is a region of two-dimensional space that is bounded by an arc (of less than 180°) of a circle and by the chord connecting the endpoints of the arc.
== Formula ==

Let R be the radius of the circle, θ is the central angle in radians, α is the central angle in degrees, c the chord length, s the arc length, h the sagitta (height) of the segment, and d the height of the triangular portion.
*The radius is R = h + d = h/2+c^2/8h \frac\pi R = R = \arcsin\left(\frac}\right)\left(h + \frac\right)
*The chord length is c = 2R\sin\frac = R\sqrt
*The sagitta is h = R\left(1-\cos\frac\right) = R - \sqrt}
*The angle is  \theta = 2\arctan\frac= 2\arccos\frac = 2\arcsin\frac

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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