# A steel wire when bent in the form of a square encloses an area of 196 sq . cm . if the same wire is bent into the form of a circle, find the area of the circle. (use pi = 22/7 )

2
by deeeeep
You should see the answer in the book it will match with my answer.

2015-03-09T11:55:58+05:30

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Perimeter of square = perimeter of circle

A of sq = 196
a²=196
a=√196
a=14

p of sq = 4a = 4(14) = 56
Perimeter of square = perimeter of circle
56 = 2πr
r = 98/11

A of cr = πr²
=22/7 * 98/11 * 98/11
=124.72 sq units.
2015-03-09T16:41:56+05:30
The wire is same So, Perimeter of square = Perimeter of circle
Area of square = 196
Side²=196
Side=√196
Side=14 cm
Perimeter of square = 4×side
= 4×14 = 56 cm
Perimeter of square = Perimeter of circle
56 = 2πr
πr=56/2
πr=28
r=28×7/22
r=98/11
Area of Circle = πr²
=22/7 × 98/11 × 98/11
=124.72 cm²