Generate distinct geometric shapes by using radius ?

I need a code where I can generate different geometric shapes in a form of a binary image (by using general equation or something like this).

Answer 1

[darova]

Here is ax example

t = linspace(0,2*pi,4);     % triangle
[x,y] = pol2cart(t,30);     % cartesian coordinates
    % move triangle to (50,50)
x = x + 50;
y = y + 50;
[x1,y1] = meshgrid(1:100);
A = zeros(100);             % preallocation memory
ind = inpolygon(x1,y1,x,y); % indices inside the triangle
A(ind) = 1;
imshow(A)