Calculating Area Blue.
Notice.
The inscribed triangle is equilateral.
Area Blue is;
Area sector with radius 10 cm and angle 60° - Area sector with radius 5 cm and angle 120° - Area equilateral triangle with height 5 cm and base 2sin60 cm.
(60π*10²/360)-(120π*5²/360)-(½*5*5sin60)
= ⅓(50π)-⅓(25π)-¼(25√(3))
= (200π-100π-75√(3))/12
= (100π-75√(3))/12 cm²
= (25(4π-3√(3)))/12 cm²
= 15.3546212326 cm²
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