when i divide the circumference of a circle by its diameter i get the value of pi and this also happens when i use different units. why does this happen?

Answer 1

When you divide a length by a length, you get a dimensionless number that should always be the same, regardless of units used, as long as the two lengths have the same dimensions.

Many important laws of physics and engineering can be expressed, and are often discovered, using dimensionless numbers.