Question

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

Answer 1

In the circle:-radius=
circumfarance=2pier
440×7/2×22=70
area of circle =22/7×70×70=15400
side of square=440/4=110
area of square=110×110=12100
the ratio=15400/12100=154/121=14/11

Answer 2

Hiii.....

We know that Perimeter of circle =
$2 \: \pi \: r$

= 2 × 22/7 × r = 440

= r = 440 × 7/ 44

=> r = 70cm..... (1)

Therefore,

area of circle =

$\pi \times {r}^{2}$

= 22/7 × 4900 = 15400cm^2

Now,

Perimeter of square = 4 × s

= > s = 440/ 4

= 110cm

Ar . of square = s × s

= > 110 × 110

=> 12100

Now,

ratio of area of circle to that of square = 15400/ 12100

= 14 : 11.........ANS

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