wire of length 88m is moulded in the form of a circle and then in the form of a square turn by turn. Find the ratio of the area of the square to that of the circle..
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2πr=440
4a=440
find
ratio of →
areaofsquare
areaofcircle
sol
2πr=440
r=
2π
440
=
π
220
circle (Area) = πr
2
=π×
π
220
×
π
220
⇒
π
(220)
2
4a=440
a=110
Area sq = a
2
=110×110
∴ Ratio =
π×110×110
220×220
⇒
π
4
[∵π=
7
22
]
⇒
22
4
×7=
22
28
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