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

A 4/5

B 3/5

C 5/6

D 6/7

E 5/8

Correct Answer: Option A

he largest possible circle cut out of square has diameter equal to side of the square.

Area of circle = π × (d²/4) ;where d is the diameter of the circle

Area of circle = (3.14) × (10²/4) =78.5 sq.cm [Approx.]

Area of square = s × s ; where s is the side of the square

Area of square = 10 × 10 = 100 sq.cm

Ratio of circle to square = 78.5/100 = 0.785

= 0.8 [Approx.] = 4/5