How to plot circle by one single equation?

I need code which plot the circle in one single equation (variable). I have the code but i need code of single equation, the code which i have, it is composed of two equations as follow :

    r=2;
    x=0;
    y=0;
    th = 0:pi/6:2*pi;
    xunit = r * cos(th) + x;
    yunit = r * sin(th) + y;
    plot(xunit, yunit);

Answer 1

[John D'Errico]

As one "equation" what does that mean? About the best I can offer is this:

r=2;
x0=0;
y0=0;

ezplot(@(x,y) (x-x0).^2 + (y-y0).^2 -r^2)
axis equal

Be careful that the units are equal for the two axes, else it ill not look circular.

I could also have done it using fimplicit.

r=2;
x0=0;
y0=0;

syms x y
fimplicit((x-x0).^2 + (y-y0).^2 -r^2)
axis equal

So, in either case, only one equation.

If you really insist on only one "variable, then you need to use a polar coordinate transformation. Thus, you can do it in terms of polar angle theta, as:

r=2;
x0=0;
y0=0;
theta = linspace(0,2*pi,100);

plot(x0 + r*cos(theta),y0 + r*sin(theta),'-')
axis equal

So only one variable, theta. If you are hoping for something else, something more or less, then you need to explain carefully what the goal is here.

Are you looking for a simple way to plot a circle? Perhaps try this:

cplot = @(r,x0,y0) plot(x0 + r*cos(linspace(0,2*pi)),y0 + r*sin(linspace(0,2*pi)),'-')

Now you have a little function that will plot a circle.

cplot(2,0,0)
hold on
cplot(3,1,2)
cplot(1,-1,1)
axis equal

[Abdulrahman Saad]

Thank you very much

[krishan Gopal]

Hi, can you tell me how to draw line pattern inside the circle

Answer 2

[Aditya Gupta]

Adding to the MVP's (perfect) answer, I found one more way:

radius  = 2;
originX = 0;
originY = 0;
rectangle('Position',[originX-radius originY-radius 2*radius 2*radius], ...
           'Curvature',[1 1]);
axis equal

Answer 3

[Harshith pothuri]

r=2;

x0=0;

y0=0;

theta = linspace(0,2*pi,100);

plot(x0 + r*cos(theta),y0 + r*sin(theta),'-')

axis equal

Answer 4

[krishan Gopal]

Hi, can you tell me how to draw line pattern inside the circle