Our Solution.
Let the radius of the semi circle be r.
Calculating r.
It implies;
(r-5)² = 5²+(r-6)²
r²-10r+25 = 25+r²-12r+36
-10r = -12r+36
2r = 36
r = 18 units.
Blue Area is;
Area semi circle with radius 18 units - Area Inscribed circle with radius 5 units.
= ½(π*18²) - (π*5²)
= 162π - 25π
= 137π square units.
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