There is no relationship between these two meanings.
The word "diameter" means "the length of a line segment that passes through the center of a circle and ends on opposite sides of it's perimeter. For example, if you look at a Pizza that fits perfectly into a square box that is one foot wide and one foot long, the diameter of that circle would be one foot.
The word "centimeter" on the other hand, is a unit of distance, not a property of a circle. The fact that they both use the root word "meter" is somewhat coincidental. The diameter of a circle can be expressed in centimeters, but that is as far as the relationship goes. It could also be expressed in meters, miles, fathoms, parsecs, or any other unit of length.
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The radius of a circle is half the length of the diameter, so if the diameter is 32 centimeters the radius is 16 centimeters.
The circumference of a circle with a diameter of 6 centimeters is 18.85 centimeters.
A circle with diameter of 6.5 centimeters has area of 33.183 square centimeters. (rounded)
The approximate area of a circle with a diameter of 60 centimeters is 2,827.43 square centimeters.
A cylinder with a diameter of 22 centimeters and a height of 2.5 centimeters has a surface area of 933.05cm2