The perimeter of a circle is called the circumference and the formular of finding it is Pi D or 2Pi R
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Perimeter is the distance around something. In the case of a circle (or other curved figures), this is simply called the perimeter, so I would say perimeter is the same as circumference. Except that it is uncommon to call the circumference of a circle the "perimeter".
Circumference ("perimeter") of a circle = (pi) x (diameter of the circle)
The circumference of a circle represents its perimeter and the distance around it.
The perimeter or circumference of a circle = 2*pi*radius or pi*diameter
If 'R' is the radius of the circle, then-- area of the circle is [ pi R2]-- perimeter of the circle is [ 2 pi R ]