They are not the same
Width also know as area is a point anywhere from the edge of the circle to the middle and to find the area you have to use the formula A=3.14*r
The circumference on the other hand is directly through the middle or double the area/width you find circumference with the formula C= 2*3.14*r
Hence the circumference is double the width and they are not the same unless the circumference is halved