Understanding Why C/d = pi is a Constant

In summary, the constant pi (π) is an irrational number used to represent the ratio between the circumference and diameter of a circle. Its approximate value of 3.14 is due to its infinite number of decimal places. Pi is calculated by dividing the circumference by the diameter and is considered a universal constant because it remains the same regardless of the size of the circle. Understanding this concept has practical applications in various fields such as engineering, physics, and geometry. Pi is also used in modern technology and scientific research.
  • #1
Hepic
118
0
Lets say that "d" is diametr of a circly,and C is the perimetr(length).
Why C/d = pi (3.14) is a constant?? I know the proof of archimides with poligons,from which found the value of pi,but how we know that C/d is always equal with a constant that we named as π=3.14;

Thanks !
 
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  • #2
I found it guys. The proof use similar triangles etc...
Thanks for your time !
 
  • #3
Hepic said:
I found it guys. The proof use similar triangles etc...
Thanks for your time !

This also requires assumptions of Euclidean geometry. In spherical geometry it is not constant.
 

FAQ: Understanding Why C/d = pi is a Constant

What is the significance of the constant pi in mathematics?

The constant pi (π) is an irrational number that represents the ratio between the circumference and diameter of a circle. It is a fundamental mathematical constant that is used in many mathematical and scientific equations.

Why is the value of pi approximately equal to 3.14?

The value of pi is approximately equal to 3.14 because it is an irrational number, meaning it has an infinite number of decimal places. For practical purposes, pi is often rounded to 3.14 for calculations, but its exact value cannot be determined.

How is the value of pi calculated?

The value of pi is calculated by dividing the circumference of a circle by its diameter. This can be done using various methods such as measuring with a ruler or using mathematical formulas like the Leibniz formula or the Chudnovsky algorithm.

Why is pi considered a universal constant?

Pi is considered a universal constant because it has the same value regardless of the size of the circle. This means that no matter how large or small a circle is, the ratio of its circumference to its diameter will always be pi.

What are the practical applications of understanding why c/d = pi?

Understanding why c/d = pi has many practical applications in various fields such as engineering, physics, and geometry. It is used in calculations involving circles, spheres, and other curved objects. Pi is also used in the development of computer graphics, GPS technology, and even in the analysis of DNA sequences.

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