Lune -- from Wolfram MathWorld
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A lune is a plane figure bounded by two circular arcs of unequal radii, i.e., a crescent. (By contrast, a plane figure bounded by two circular arcs of equal radius is known as a lens.) For circles of radius a and b>a whose centers are separated by a distance c, the area of the lune is given by (1) where Delta=1/4sqrt((a+b+c)(b+c-a)(c+a-b)(a+b-c)) (2) is the area of the triangle with side lengths a, b, and c. The second of these can be obtained directly by subtracting the areas of
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