State true or false:

If a circle with radius 16 cm is cut into four equal parts and then it is rearranged to the form as shown below, then the perimeter of the circle changes.

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Detailed Solution

Here, we have to find if a circle with radius 16 cm is cut into four equal parts and then it is rearranged to the form as shown below, then the perimeter of the circle changes or not.
Question Image

We know that the perimeter of a circle is mainly the outer curved surface of the circle, and is the circumference of the circle.
But in the figure made by cutting the circle we can see that the uppermost and the lowermost parts have the radius also as its outer boundary apart from the curved surfaces.
So, the addition here is the radius in the uppermost and lowermost parts.
Therefore, the extra addition is mainly two times that of the radius of the circle.
Then,