You neglected to say whether the 4mm is the radius of the circle, or the diameter,
or the circumference. Each possibility gives you a different area.
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Well, darling, the circumference of a circle is calculated using the formula C = 2πr, where r is the radius. Plug in the radius of 4 mm, and you get a circumference of 8π mm, or approximately 25.13 mm. So, there you have it, sugar, the circumference of a circle with a radius of 4 mm.
Diameter of circle: 13/pi = 4 mm rounded to the nearest integer
The circumference of a circle that is 16 mm in diameter is 50.27 mm
The circumference of a circle with a diameter of 13 mm is: 40.84 mm
If the circle's circumference is 58 mm then its diameter is 58/pi which is about 18.462 mm