question_answer

PQR is an equilateral triangle of side 3 cm. Taking P, Q and R as centre, circles of radius 1.5 cm are drawn. Find the area of the region within the triangle bounded by three circles.

A) \[\left( \frac{18\sqrt{3}-9\pi }{8} \right)c{{m}^{2}}\]      

B) \[\left( \frac{18\sqrt{3}-9\pi }{4} \right)c{{m}^{2}}\]

C) \[\left( \frac{12\sqrt{3}-9\pi }{2} \right)c{{m}^{2}}\]      

D) \[\left( \frac{12\sqrt{3}-9\pi }{4} \right)c{{m}^{2}}\]

E) None of these