Mathematics Question and Solution
Sir Mike Ambrose is the author of the question.
Area S exact, or to 3 d.p. will be;
Area sector of radius 2√(7) units and angle (180 - 2sin–¹(4sin120÷(2√(7)))) + area triangle of two lengths 2 units and 4 units respectively and angle they form, 120° - area sector of radius 2√(7) units and angle 60° - area triangle of lengths 2√(7) units and 2 units, and angle they form, (180-(60+sin–¹(4sin120÷(2√(7))))
= (28πx(180 - 2sin–¹(4sin120÷(2√(7))))÷360) + (4sin120) - (28πx60÷360) - (2√(7)x(180-(60+sin–¹(4sin120÷(2√(7))))))
= 27.4621161547 - 19.8569181395
= 7.6051980152
≈ 7.605 square units.
