Question

A copper wire bent of a square encloses an area of 272.25 if the same wire is bent into the form of circle what will be the area enclosed by wire.​

Answer 1

Area of the square =272.25cm

2

Let a be the side of the square.

Thus, a

2

=272.25

=>a=

272.25

=>a=16.5 cm

Length of the wire is same, thus

Perimeter of the square= circumference of the circle

=>4a=2πr

=>r=

22

2a×7

=>r=

22

2×16.5×7

=>r=10.5cm

Now area of the circle =πr 2

=

7

22

(10.5) 2

=346.5cm 2

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Answer 2

$\bold{ANSWER≈}$

Area of the square =272.25cm

2

Let a be the side of the square.

Thus, a

2

=272.25

=>a=

272.25

=>a=16.5 cm

Length of the wire is same, thus

Perimeter of the square= circumference of the circle

=>4a=2πr

=>r=

22

2a×7

=>r=

22

2×16.5×7

=>r=10.5cm

Now area of the circle =πr 2

=

7

22

(10.5) 2

=346.5cm 2