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A copper wire when bent in the form of a square encloses an area of 121 \mathrm{cm}^{2} . If the same wire is bent

into the form of a circle, find the area of the circle.

Answer:

It is given that

"hello and welcome my dear students
i am rashford the math suiter on lido
and i'm here
a new question it is a copper wire when
bent
in the form of a square encloses an area
of 121 centimeter square with the same
wire is bent into the form of a circle
find the area of this circle so without
wasting much time let's have a look at
the solution
so we have been given that area of
square is
121 centimeters square
which means
that area is nothing but side square
so if we apply that so side square equal
to 121
gives us the side is nothing but the 11
centimeters
now if we talk about the perimeter
so the perimeter
of square is nothing but
4 into side we can write it as 4 into s
which is nothing but 4 into 11 so we get
44 centi meters
which is equivalent to circumference of
the circle
now we know that the circumference of
the circle is 2 pi r
which is equivalent to 44 centimeter
because the same wire has been bent to
form
a circle now
so we'll put the values and we'll
substitute we'll solve it
we'll substitute the value so we get 44
into 7
divided by 2 into 22
after putting the values of pi and
solving it further we get
seven centimeter that means radius is
nothing but the
seven centi meters
now if you find out the area of a circle
that is equal to pi r square
which is nothing but 22 by 7
into 7 square which is equals to 154
centimeter square so i hope
my students got this question well do
not forget to hit the subscribe button
you can also share your doubts in the
comment section see you next time
bye"

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