No it does not have a name.
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The circumference of a circle with a 2pi radius is: 39.58
Divide the circumference by 2PI to find the radius. ( C = 2PI*Radius)
2PI
the period is 2pi. period is 2pi/b and the formula is y=AsinBx.
Assuming you mean that the pi is not within the sin(2pi), its a vertical shift of +pi