From a square piece of paper having each side is equal to 10 cm, the largest possible circle is being cut out. The ratio of the area of the circle to the area of original square is nearly:

(a) 4/5

(b) 3/5

(c) 5/6

(d) 6/7

Please explain how to answer this question with the relevant steps.

length of the square = 10 cm
area of the square = 10*10 = 100 sq cm
diameter of the largest circle is 10 cm
radius of the circle = 10/2 = 5 cm
area of the circle = π*r2=3.14*5*5=78.5 cm2
ratio of the area of the circle to the area of the square 
=78.5 : 100= 78.5100=0.785
which is nearly equal to 4/5 = 0.8

hope this helps you

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