How to check if a point lies in the sector of a circle?

I have a sector defined by the following code.

x0=12;
y0=13;
theta =30;
r=3
a1 = 2*pi*rand;  % A random direction
  a2 = a1 + theta;
   t = linspace(a1,a2);
   x = x0 + r*cos(t);
   y = y0 + r*sin(t);
   plot([x0,x,x0],[y0,y,y0],'k-')

I want to check if a point, say [12.5 11.5] lies within the sector defined. Thanks in advance.

[Aida Jones]

Can you please share the solution. I am also looking for it. Thanks

Answer 1

[KSSV]

YOu should be having a set of points for sector and the points for circle. Use inpolygon to know whether these points lie inside or outside the given circle. Read about inpolygon.

https://in.mathworks.com/help/matlab/ref/inpolygon.html

[Ananya Malik]

Actually, I just have a sector and not the entire circle. I want to check if a point lies within that particular sector.

That is, I have [x,y], theta (sector angle), radius and orientation of the sector. And another point (x1,y1), which should be checked if it is lying in the area defined by the sector.

[KSSV]

What ever, if you have coordinates of closed region and the points to be checked, you can use inpolygon.

[Ananya Malik]

Thanks a lot. I got it (y).

[KSSV]

Thanks is accepting the answer.....;)