area between three curves

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mukesh bisht
mukesh bisht on 12 Nov 2021
Commented: mukesh bisht on 13 Nov 2021
Hi, I want to color the area between the intersection of three curves. Please suggest a way
Code:
T1 = 180:0.1:270;
x1 = 3*cosd(T1); y1 = 3*sind(T1);
T2 = theta_4s2:0.001:theta_4f2;
c1 = 4.3123; c2 = -50.2708; c3 = 193.7277; c4 = -243.8411;
r_6 = c1*T2.^3 + c2*T2.^2 + c3*T2 + c4;
x2 = 1.998 + r_6.*cos(T2); y2 = -0.8840 + r_6.*sin(T2);
x0 = 1.8977; y0 = 2.3235; vr = 4.0678;
beta = atan(y0/x0);
x3 = s2(1,1):0.001:x_t; y3 = y0 + (x0-x3)*cot(beta) - (9.81*(x0-x3).^2)./(2*(vr*sin(beta))^2);
pgon1 = polyshape(x1,y1);
pgon2 = polyshape(x2,y2);
pgon3 = polyshape(x3,y3);
figure (1)
plot(x1,y1,x2,y2,x3,y3)
hold on
plot (intersect(intersect(pgon3,pgon4), pgon3,'EdgeColor','none')
  6 Comments
mukesh bisht
mukesh bisht on 13 Nov 2021
sorry for my incorrect code. Here, is the final corrected version
T1 = 180:0.1:270;
x1 = 3*cosd(T1); y1 = 3*sind(T1); % circle
T2 = 3.3620:0.001:3.9045;
c1 = 4.3123; c2 = -50.2708; c3 = 193.7277; c4 = -243.8411;
r_6 = c1*T2.^3 + c2*T2.^2 + c3*T2 + c4;
x2 = 1.1998 + r_6.*cos(T2); y2 = -0.8840 + r_6.*sin(T2); % region 4
x0 = 1.8977; y0 = 2.3235; vr = 4.0678;
beta = atan(y0/x0);
x3 = -2.0591:0.001:-1.8541; y3 = y0 + (x0-x3)*cot(beta) - (9.81*(x0-x3).^2)./(2*(vr*sin(beta))^2); % parabola
pgon1 = polyshape(x1,y1); % circle
pgon2 = polyshape(x2,y2); % region 4
pgon3 = polyshape(x3,y3); % parabola
pgon4 = intersect(pgon1,pgon2);
figure (4)
plot(x1,y1,x2,y2,x3,y3)
hold on
plot (intersect(pgon3,pgon4),'EdgeColor','none')
I want to color the area of intersection of these threee curves

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