How many dimensions does a circle have ?

Question

happy_to_help · Answer

A circle is a one-dimensional object, although one can embed it into a two-dimensional object.

perl · Answer

More precisely, it is a one-dimensional manifold.

perl · Answer

assuming we are talking about the circumference of a circle, not the area inside.

kainui · Answer

@ziawasim What level of math are you at hahaha, these sound like some sophisticated answers.

anonymous · Answer

how 1 dimensional? we need two co-ordinate x and y to draw points on cirlce ? then how one ?

anonymous · Answer

@Kainui  my level of math is 0.0000000 now

perl · Answer

A circle can be thought of as a one dimensional curve

anonymous · Answer

how if i need to show a point on the circle i need (x,y) not only x ?

perl · Answer

It really depends on the context of the word dimension in the question,

perl · Answer

usually we say a line has one dimension, a surface has two dimensions, a volume has three dimensions

perl · Answer

One-dimensional objects have length. A segment has length, and so does a circle (its circumference). A ray or an entire straight line will have infinite length. Even though each circle is one-dimensional as a mathematical object, it may take many numbers to specify a particular circle.

perl · Answer

two dimensional objects have length and width (think surface). 
so the surface of a ball (in math this is just called sphere), is 2 dimensional .

perl · Answer

A circle can exist in either two-dimensional or three-dimensional space (or even higher-dimensional spaces), but it is still a one-dimensional object.

perl · Answer

If you know about describing curves and surfaces parametrically, then, 
with certain restrictions, the dimension of the object is equal to the 
number of parameters required in its description.  For example, a circle  
in two space can be described by the equations

     x = cos(t)
     y = sin(t)

Here the parameter t varies over a line or line segment  Hence, the line in two space is one-dimensional.

perl · Answer

https://www.youtube.com/watch?v=Xy822CJZwRg

perl · Answer

I will prove to you that dimension is not defined simply as the number of coordinates. 
You can draw a circle in 3 space, and then you need 3 coordinates to represent points of the circle. 
Now are you going to say a circle is 3 dimensional?

perl · Answer

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perl · Answer

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