Mathematics Question and Solution
Area S, exactly in square unit is;
Area triangle with height 2 unit and base (2sin120) unit + Area triangle with height 2 unit and base 2√(2) unit - Area sector with radius 2 unit and angle (30+atan(√(2)))°
= (½*2*2sin120) + (½*2*2√(2)) - (4π*(30+atan(√(2)))÷360)
= √(3) + 2√(2) - (π(30+atan(√(2)))/90) square unit.
= 4.56047793232 - 2.95783078745
= 1.60264714487 square units.
≈ 1.60 square units to 2 decimal places.
