How to find a common area between three graphs in same plot

I am trying to find a common are between three circular arcs starting from different center points with same radius covering different angular distances as shown in the figure

Code to plot these graphs is

clc
clear all
radius = 100;
radius1=0:2:100;

xCenter1 = 0;
yCenter1 = 0;
theta1= linspace(90,95,50);
xCenter2 = 20;
yCenter2 = 0;
theta2 = linspace(40,45,50);
xCenter3 = 40;
yCenter3 = 0;
theta3=linspace(135,140,50);

[x1,y1]=req_out(xCenter1,yCenter1,theta1,radius,radius1);
[x2,y2]=req_out(xCenter2,yCenter2,theta2,radius,radius1);
[x3,y3]=req_out(xCenter3,yCenter3,theta3,radius,radius1);

plot(x1,y1,'b-', 'LineWidth', 2)
hold on
plot(x2,y2,'b-', 'LineWidth', 2)
hold on
plot(x3,y3,'b-', 'LineWidth', 2);
hold on
plot(intersect([pgon1,pgon2]),'EdgeColor','none','FaceColor', 'c')
% axis([0 radius+5 0 radius+5])
axis equal
grid on

function [x,y]=req_out(xCenter,yCenter,theta,radius,radius1)
x1=radius1*cosd(min(theta))+ xCenter;
y1=radius1*sind(min(theta))+ yCenter;
x2= radius * cosd(theta) + xCenter;
y2= radius * sind(theta) + yCenter;
x3=radius1*cosd(max(theta))+ xCenter;
y3=radius1*sind(max(theta))+ yCenter;

x=[x1,x2,x3];
y=[y1,y2,y3];
end

Please some one guide me through this...

Answer 1

[darova]

Do you have polyxpoly?

Try intersections if not