Question

a steel wire when bent in the form of a square encloses an area of 144 cm square. find the same wire is bent in the form of a circle find the area of circle.

Answer 1

Area of square=144cm^2
=>side^2=144
=>side =√144
=>side=12cm
Now,
Perimeter of the square=Perimeter of circle
=>4×side=2πr
=>4×12=2×22/7×r
=>2×12×7÷22=r
=>r=7.64(approx.)
Now,Area of the circle
=πr^2
=22/7×7.64
=168.08/7
=24.011cm^2
hope it helped u.
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Answer 2

Area of square = Area of circle
144=22/7×r square
144×7/22=r sq
43.2=r sq
root 43. 2= r

Therefore
Area of circle=
22/7×(root43.2)Sq=
22/7×43.2=
135.74