A copper wire when bent in the form of a square encloses an area of #121##cm^2#. If the same wire is bent into the form of a circle, what is the area of the circle?
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
that means that a
therefore one side of the square would be
The Perimeter of the square would be equal to the full length of the copper wire.
Perimeter of a square
since we just found that
we can determine that the Perimeter would be
Therefore the length of the copper wire would be
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
from this we can get that
Then, the Area of the Circle would be
Area of a Circle
Since we found that
we can figure out that the Area of the Circle would be