Let r be the radius of the two congruent inscribed semi circles.
Calculating r.
(2r)² = 2²+(3-2r)²
4r² = 4+9-12r+4r²
12r = 13
r = (13/12) units.
It implies;
Area Shaded is;
Area rectangle with height and base 2 units and 3 units respectively - Area circle with radius (13/12) units.
= (3*2) - π(13/12)²
= 6 - (169π/144)
= (864-169π)/144 square units.
= 2.31299195516 square units exactly in decimal.
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