Radius of the inscribed small semi circles, r is;
(3+r)² = 3²+(6-r)²
36 = 18r
r = 2 cm
Therefore;
Area blue is;
Area semi circle with radius 6 cm - Area semi circle 2 cm - Area circle with radius 3 cm.
= ½*6²π - ½*2²π - 3²π
= ½(36π) - ½(4π) - 9π
= 18π - 2π - 9π
= 18π - 11π
= 7π cm²
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