Understanding Why C/d = pi is a Constant

Hepic · Aug 20, 2014

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 !

Hepic · Aug 20, 2014

I found it guys. The proof use similar triangles etc...
Thanks for your time !

thelema418 · Aug 25, 2014

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.

Understanding Why C/d = pi is a Constant

Discussion

Undergrad Is infinity a necessary concept?

High School Ant on a stretchy rope puzzle

High School Potato paradox

Undergrad Descartes’ Geometry of Square Roots

High School Three Squares Problem

Mathematica NDSolve with forcing function via "digital waveguide"

MATLAB Unable to produce desired results using state-space model with observer for inverted pendulum

Insights Revisiting the Velocity-Time Function

Insights Remote Operated Gate Control System

Insights AI Enriched Problem Solving

Insights Thinking Outside The Box Versus Knowing What’s In The Box

Insights Why Entangled Photon-Polarization Qubits Violate Bell’s Inequality

Insights Quantum Entanglement is a Kinematic Fact, not a Dynamical Effect

Understanding Why C/d = pi is a Constant

Discussion

Similar threads

High School Understanding why πr^2 works for different area calculations

Undergrad How do we know Pi is Constant?

High School Why is speed constant when centripetal acceleration is constant?

High School Why is my experimental spring constant an order of magnitude off?

High School Why is pi defined as C/d instead of C/r?

High School Why exactly do we need the gravitational constant?

Graduate Why magnetic constant is specifically 4*pi*e-7

Undergrad Why does the author use the notation ##f_c(d)## instead of ##f(c,d)##?

Exact Solutions for Kinetics of 2A + B → C + D Reaction with Rate Constant k

How Do I Find Constants A, B, C, D, and ω in This Coupled DE System?

Graduate Why magnetic constant is specifically 4pie-7