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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
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(1) |
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(2) |
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(3) |
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(6) |
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(8) | |
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(9) |
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(10) |
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(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.
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© 1996-9 Eric W. Weisstein