Formula for Area of Overlapping Rings?

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Could anyone direct me to a formula for the area enclosed by two overlapping rings? Sketch below...

area.jpg


Thanks...
-jg
 
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I realize my question was a little bit ambiguous... specifically, the area in terms of the radius of the two circles and the distance between their centers. The rings are identical.

Sorry about that.
-jg
 
Also, looking at your attachment appears to require a password.