Radius of the circle, r is;
√(2-2cos120)
r = √(3) units.
Therefore!
Area yellow is;
Area regular hexagon with side 2 units - 2(area triangle with height ½ units and base √(3) units) - 2(area sector with radius √(3) units and angle 60°)
= (24/(4tan30)) - 2(½*½√(3)) - 2(60π(√(3))²/360)
= 6√(3) - ½√(3) - π
= ½(12√(3) - √(3) - 2π)
= ½(11√(3)-2π) square units.
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