Question

If the diameter of the circle circumscribing the hexagon is 6 cm, then find the area of the shaded region

• A.
  
• B.
  
• C.
  
• D.
  

Answer 1

The correct option is B

The answer can be easily obtained usinggraphical division. The hexagon is made of 6 equal triangles, of which we are looking for the area of 2 triangles as shown below

The side of each triangle is 3 cm. Thus the area of 2 such triangles is 2 $\times$ $\frac{\sqrt{3}}{4}$ $\times$ a${}^2$ = $\frac{9\sqrt{3}}{2}$