IKMC 2027 - Grades 11-12 - Self-study SET 3 - Thematic Batch 3 Question 10

Question 10

Equilateral triangle ABC has side 2. D is the midpoint of AC, and the circle with diameter BD is tangent to AC at D. What is the shaded area?

Question illustration

$\frac{4\pi -3\sqrt{3}}{8}$
$\frac{\pi -3\sqrt{3}}{4}$
$\frac{7\sqrt{3}-4\pi }{16}$
$\frac{5\sqrt{3}-2\pi }{8}$
Cannot be determined