question_answer

PQR is an equilateral triangle of side 6 cm. If a circle of radius 1 cm is moving inside and along the sides of the triangle, then locus of the centre of the circle is an equilateral triangle of side _______

A)  5.5 cm            

B)                                 \[(3-\sqrt{3)}\]cm  

C)  \[(3+\sqrt{3)}\]cm        

D)                                \[\left( 6-2\sqrt{3} \right)\]cm

E) None of these