Formula for Area of Overlapping Rings?

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jpg15
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Could anyone direct me to a formula for the area enclosed by two overlapping rings? Sketch below...

Two overlapping annuli of equal size, each drawn as two concentric circles, with an arrow pointing down at the lens-shaped overlap region between them.


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.