Calculating Area Orange.
Let the side length of the inscribed regular triangle be a.
It implies;
2a = 15
a = 7.5 units.
Area sector with radius 15 units and angle 60° - Area regular triangle with side length 7.5 units.
= (60π*15*15/360)-(½*7.5*7.5sin60)
= ½(75π)-¼(56.25√(3))
= 93.4527600282 square.
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