Eduki

The area of the circle can be found by dissecting the circle into several parts and trying to rearrange it to find the area. 

Suppose the circle is broken into 8 parts such that the figure becomes sort of like a parallelogram. 

Even now the horizontal sides are not as straight as we would have liked. What happens when we break down the circle into 16 parts? What if broken into 32 parts? Or 64? We see that as the size of the pieces gets finer and finer, the parallelogram seems like a rectangle. 

What we find out is that the resulting rectangle formed has its length half of the circumference of the circle. It is because the whole circumference has been divided into two parts. The width of the rectangle is equal to the radius of the circle. Thus we know that the area for a rectangle is given by length times width.

Area=Length x Width

=πr x r= πr2

We must understand that every circle is similar to another circle. This statement isn't true for any other 2D shape. In other words, all circles look the same as if they were scaled up or down. It follows the property of a scaled figure such that when the radius of a circle is doubled, then the area increases by 4 times. If the radius is increased by 3 times then the area increases by 9 times.