A Wedge obtained by taking a portion of a Circle with Central Angle radians (180°),
illustrated above as the shaded region. A sector of radians would be a Semicircle. Let be the radius of
the Circle, the Chord length, the Arc Length, the height of the arced portion, and the
height of the triangular portion. Then
(1) | |||
(2) | |||
(3) | |||
(4) | |||
(5) | |||
(6) | |||
(7) | |||
(8) | |||
(9) |
(10) |
(11) |
See also Circle-Circle Intersection, Lens, Obtuse Triangle, Segment
References
Beyer, W. H. (Ed.) CRC Standard Mathematical Tables, 28th ed. Boca Raton, FL: CRC Press, p. 125, 1987.
© 1996-9 Eric W. Weisstein