how to make rectangle in circle?

I want to make rectangles in circle.

I know the radius, rectangle's width and length.

please let me know how to do this

thanks

[Jan]

What have you tried so far?

[DGM]

See also:

https://www.mathworks.com/matlabcentral/answers/1856233-how-to-fill-the-circle-with-grids

[Sierra]

I answerd to Matt J's!

could you guys look at that?

Answer 1

[Matt J]

[X,Y]=ndgrid(-10:10);

r=arrayfun( @(x,y) nsidedpoly(4,'Center',[x,y],'Radius',1/sqrt(2))  , X(:),Y(:));

c=intersect(nsidedpoly(1000,'Radius',5),  scale(r,[1,1.5]));

plot(c,'FaceColor','none')

[Sierra]

Thanks always MattJ

but i have problem using your code with my data.

could you look at this?

the circle's coordinates are [lonc latc]. (I attached the file)

and in geographic coordinates the radius is 5NM

so nm2deg(5) = 0.0833

nm2deg(5) = 0.0833
% every grid's width and length are 0.44 and 0.58
% so I calculated like this

width = 0.44/5;
length = 0.58/5;
nm5 = 0.0833;

width1 = width*nm5;   
length1 = length*nm5;

using this, could you give me example code? thanks.

[Matt J]

Maybe this is clearer:

width=1;
length=1.3;
circleRadius=10;

[X,Y]=ndgrid(-circleRadius:width:circleRadius+width);

r=arrayfun( @(x,y) nsidedpoly(4,'Center',[x,y],'Radius',width/sqrt(2))  , X(:),Y(:));

c=intersect(nsidedpoly(1000,'Radius',circleRadius),  scale(r,[1,length/width]));

plot(c,'FaceColor','none'); axis equal

[Sierra]

Thanks again.

but My circle's origin point is not zero. so I added my circle's origin point.

width=0.0073;
length=0.0097;
circleRadius=0.0833;
[X,Y]=ndgrid(-circleRadius:width:circleRadius+width);

X(:) = X(:) + ARP_lon % origin x 126.7975
Y(:) = Y(:) + ARP_lat % origin y 37.5569

r=arrayfun( @(x,y) nsidedpoly(4,'Center',[x,y],'Radius',width/sqrt(2))  , X(:),Y(:));
c=intersect(nsidedpoly(1000,'Radius',circleRadius),  scale(r,[1,length/width]));
plot(c,'FaceColor','none'); %axis equal

but it didn't work well.

could you explain more?

[Matt J]

Use translate:

width=1;
length=1.3;
circleRadius=10;

[X,Y]=ndgrid(-circleRadius:width:circleRadius+width);

r=arrayfun( @(x,y) nsidedpoly(4,'Center',[x,y],'Radius',width/sqrt(2))  , X(:),Y(:));

c=intersect(nsidedpoly(1000,'Radius',circleRadius),  scale(r,[1,length/width]));

c=translate(c,ARP_lon,ARP_lat);

plot(c,'FaceColor','none'); axis equal

Answer 2

[Image Analyst]

See the FAQ:

https://matlab.fandom.com/wiki/FAQ#How_do_I_create_a_circle?

Then plot it with plot and then for each x and y value you want find the end points of a line segment and use line() or plot() to draw the line from one side of the circle to the other. It's easy but if you really can't figure it out then write back.

[Sierra]

I tried this. but i found that I also have to know the grid's point inside circle.

jsut connecting the first point and end point is doesn't work for me.

But thanks for your answering.

I uploaded new comment for clarification to Matt J's answer.

[Image Analyst]

You do not ned to know the crossing/intersection coordinates of the vertical and horizontal lines inside the circle. All you need to know for the horizontal lines is the y value and the two points on the circle closest to that y value. Similar for the lines in the other direction. But it looks like @Matt J suggested a different approach and you accepted that so I won't proceed with my approach.

[Sierra]

Thanks for your answer!