Question

If a wire of 440m length is moulded in a form of cirlcle and a square turn by turn find the ratio of area of circle to that square

Answer 1

Wire length is 440m moulded to form a circle 
in circle the circumference  = 440
2$\pi$r = 440
r = 440/2$\pi$
r = 220 × 7/22
r = 70 m 
 Area  = $\pi$r^2
           = 22/7 × 70 ×70 
           = 15400
 In a square Perimeter = 440
4s = 440
s = 110

Area = s^2
         = 110^2
         = 12100

 Ratio of circle to square = 15400 : 12100
                                           = 14 : 11

Answer 2

length of wire = 440m
circumference of circle = perimeter of square
circumference of circle = 440m
pie × d = 440
22/7 × d = 440
d = 440 ×7/22
d = 220 × 7/11
d =20×7 = 140
r = 140/2 = 70
area of circle = pie × r square
= 22/7× 70 ×70 = 22 ×10 × 70
= 22 × 700 = 15400
perimeter of square = 440
4S = 440
S = 110
area of square = S square
= 110 × 110
area of circle : area of square = 15400 : (110 × 110)
= 14:11