Question

A copper wire is bent in the form of a square encloses an area of 121 cm square if the same wire is bend into the form of a circle find area of circle

Answer 1

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484πcm2≈154.061984913cm2

Explanation:

First we need to find the length of the wire.
To do that, we should try to figure out the length of 1 side of the square

Area of a square=(side)2
that means that a (side)=√121 if the Area of the square was 121.
therefore one side of the square would be √121=11

The Perimeter of the square would be equal to the full length of the copper wire.
Perimeter of a square=4(side)

since we just found that (side)=11
we can determine that the Perimeter would be 11⋅4=44

Therefore the length of the copper wire would be 44cm long

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If we make a circle from this wire, the length of the wire would then be the Circumference of the Circle.
Circumference of a Circle =2π(radius)

from this we can get that (radius)=442π=22π

Then, the Area of the Circle would be
Area of a Circle =π(radius)2

Since we found that (radius) = 22/ π.




we can figure out that of area of the circle would be.

π(22π)2=484π≈154.061984913← answer