Mathematics Question and Solution
Sir Mike Ambrose is the author of the question.
Area S, exactly in square units is;
Area triangle with height 2 units and base (2sin120) units + Area triangle with height 2 units and base 2√(2) units - Area sector with radius 2 units 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 units.
= 4.56047793232 - 2.95783078745
= 1.60264714487 square units.
