Not exactly a crescent, But something similar, maybe you could try and change any values to achieve the shape you are looking for:
th = linspace( pi/3, -pi/3, 100);
R = 1; %or whatever radius you want
x = R*cos(th) + 5;
y = R*sin(th) + 4;
plot(x,y); axis equal;
hold on
th = linspace( pi/3, -pi/3, 100);
R = 1; %or whatever radius you want
x = R*cos(th) + 4.9;
y = R*sin(th) + 4;
plot(x,y); axis equal;
hold off
You can refer to this below link to get a better idea as well: LINK
