question_answer

Four circles of radius 1 cm each are placed in such a way on a plane paper that each touches the other. Find the area \[\pi {{r}^{2}}\] of the space left in between the four circles. \[2\pi {{r}^{4}}\]

A) 0.82                            

B) 0.84

C) 0.86    

D) 0.88

Correct Answer: C

Solution :

Shaded area = Area of the square of side 2 cm - Area of the four quadrants of circle of radius 1 cm i.e., Shaded area \[7552{{m}^{2}}\] \[1100{{m}^{2}}\]