Question

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A wire in the shape of a square is rebent to form a circle of area 154 sq.cm. Find the length of the wire.


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Answer 1

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A wire in the shape of a square is rebent to form a circle of area 154 sq.cm. Find the length of the wire.

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Length= 40cm

Breadth= 22cm

Perimeter of the rectangle= Length of the wire

=2(l+b)= 2(40cm + 22cm)

=2\times622×62cm = 124cm

Now, the wire is rebent into a square.

Perimeter= 124cm

4\times side=1244×side=124

Therefore side= \frac{124}{4}

4 124

cm= 31cm

So, the measure of each side= 31cm

Area of rectangular shape= l\times bl×b

=40cm\times22cm40cm×22cm

=880cm^2880cm 2

Area of a square shape= \left(Side\right)^2(Side) 2

=\left(31\right)^2=961cm^2(31)

2 =961cm 2

Since 961cm^2\ >\ 880cm^2961cm

2 > 880cm 2

Hence, the square encloses more area

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Answer 2

Answer:

forming equation

r^2×22/7 = 154

radius = 7

now we find the circumference to find length of wire

which is pi×diameter

diameter = 7×2 = 14

14×22/7 = length of wire

length = 44

hope it helps