MATLAB: Points lying inside a polygon and a circle

Question

How can I find the number of point lies inside both a circle and a polygon (the point should lie in the mutual/overlapping area in between the circle and the polygon) ?

Answer 1

If the circle is centered at (x0,y0), with radius R and the polygon has vertices xv,yv, you could do,

count = sum(    inpolygon(x,y,xv,yv) & ((x-x0).^2+(y-y0).^2<=R^2)  )