I'm a student with little knowledge, but I have an opinion about circles which I'd be happy to discuss here. I believe that a circle is a polygon with an enormous number of sides (which I consider as a straight line) and my proof of that is a circle as a 2D shape is a repeat of 1D shapes which are straight lines, like any 2D shape. Also I believe that there is no perfect circle; there are regular polygons considered as circles. And my proof is in our real life if we took any circle and magnified it we'll find straight lines, or if we looked at a circular motion using a femtosecond camera for example, we'll find motions in straight lines. I've tried to calculate the value of pi by considering the circle as a regular polygon and, I've got the same value of rounded pi on my calculator. Can any one prove I am wrong or right or discuss me? Thanks in advance
2026-03-27 05:36:14.1774589774
An opinion about circle
355 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At
1
There are 1 best solutions below
Related Questions in CIRCLES
- Point in, on or out of a circle
- Constrain coordinates of a point into a circle
- Circle inside kite inside larger circle
- How to find 2 points in line?
- Locus of a particular geometric situation
- Properties of a eclipse on a rotated plane to see a perfect circle from the original plane view?
- Complex numbers - prove |BD| + |CD| = |AD|
- Number of line segments to approximate a circle
- Right Angles in Circles
- Simpler Derivation of $\sin \frac{\pi}{4} = \cos \frac{\pi}{4} = \frac{1}{\sqrt{2}}$,
Related Questions in POLYGONS
- Can the relocation of one control point of a NURBS curve be compensated by an adjustment of some weights?
- Need a hint regarding this question...
- How do I detect if a circle overlaps with a polygon or not?
- A peculiar Diophantine equation
- Looking for Regular Polygons with a Side to Diagonal ratio Equaling a Metallic Mean
- Calculating the value of $\pi$
- Bounding Numbers for $N>2$
- Generalizing Odom's construction of the golden ratio
- Integrating difficult function over a polygon
- Existence and uniqueness of a Riemann-Hilbert problem involving a polygon
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?
Whether a perfect circle can exist in real life has no bearing on the mathematics. A circle in mathematics is an abstract concept, not something related to the real/physical world.
You're right that you can approximate the value of $\pi$ by considering regular polygons. In fact, this is what Archimedes did a long time ago. But no matter how many sides you use, it's never going to be a perfect circle. And you need an increasingly large amount of sides of the polygon, as you increase the desired precision of the approximation.
However, you could probably view the circle as the limit of regular $n$-gons ( this limit is not a polygon itself, though).