Shaded red area is;
Area quarter of radius 10 units - Area sector of radius 10 units and angle 30° - Area equilateral triangle of single side length 5 units - Area sector of radius 5 units and angle 120°.
= ¼(100π)-(100π)/12-¼(25√(3))-⅓(25π)
= 25π - ⅓(50π) - ¼(25√(3))
= (300π-200π-75√(3))/12
= (100π-75√(3))/12 square units.
= 15.3546212326 square units.
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