How two find the intersection coordinates between these two functions?

Good afternoon, I am quite new to Matlab, right now I need to find the intersection between the next two functions, specifically functions a (which is the upper section of a circle) and yc1. I know there are two intersecting points and just need the x coordinates in order to use it as the minimum range for the yc1 function. As you can see if plotted, I want yc1 to start at the intersection with the circular function (a and b).

rin = 1;                                     %radius of circle
dtf = 0.923;                              %distance to yc1
th = 0:pi/125:2*pi;                    
a = rin * cos(th);                        %upper semicircle
b = rin * sin(th);                         %lower semicircle
plot(a,b,'--k')
hold on
xp = dtf:0.002:0.5+dtf;                 
yc1 = -(0.2 * (1 - (((xp-dtf)-0.5)/0.5).^(2)).^(1/2)) + 0.2 + 0.2;                                  %intersecting function
plot(xp,yc1)

The x value of the intersection coordinate for this specific problem equals 0.9324, although I will be changing some constants and need to find a general way to find such intersection. I have tried using intsx = solve(a==yc1,x) with no success. Thank you for your help, I hope I made my objective clear.

BTW, I am using the student version of the software.

Answer 1

[darova]

try polyxpoly

[MLP]

This worked perfectly, thank you!