It is a pure number and numbers do not have units. If you are thinking of pi in the context of a circle, it is the ratio of the length of the circumference to the length of the diameter. Length/Length, so there are no units.
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Using 3.14 as Pi the area of circle is: 0
Area = pi*r2 = 78.5 square units, approx.Area = pi*r2 = 78.5 square units, approx.Area = pi*r2 = 78.5 square units, approx.Area = pi*r2 = 78.5 square units, approx.
diameter = 14pi/pi = 14 units radius = 14/2 = 7 units
If the circumference of a circle is 16 linear units times pi, then its diameter 16 linear units.
Area of a circle in square units = pi*radius2