A right angle triangle whose hypotenuse ...

A right angle triangle whose hypotenuse is c and its perpendicular sides are a and b. Three semicircles are drawn along the three sides of this triangle in such a way that the diameter of each semicircle is equal to the length of the respective side of the triangle. The semicircle drawn wiht the help of hypotenuse intersects the other two semicircles as shown in the concerned diagram. Find the area of the shaded region.

ab/2

`(2abpi)/3`

`(abpi)/c`

data insufficient

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