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How to add ticks in a circle in TikZ



The Next CEO of Stack OverflowExtending anchors in TikZHow to make add tick to node in tikzRotate a node but not its content: the case of the ellipse decorationHow to define the default vertical distance between nodes?Numerical conditional within tikz keys?TikZ/ERD: node (=Entity) label on the insideTangent to circle given point on circleTikZ: Drawing an arc from an intersection to an intersectionDrawing rectilinear curves in Tikz, aka an Etch-a-Sketch drawingTikZ: Calculate position and size of node from optional argumentsLine up nested tikz enviroments or how to get rid of themProblems with nested TikZpictures










1















Referring to the question How to make add tick to node in tikz, how do I extend this to a circle shape in TikZ.



A simple approach is to draw lines as ticks by calculating the coordinates. Sample approach below:



documentclass[tikz]standalone
usetikzlibrarycalc

begindocument
begintikzpicture
node[circle,draw,minimum size=10cm] (a) at (0,0) ;
filldraw (a.center) circle [radius=0.1cm];
draw ($(a.center)-(4.5,0)$) -- (a.west);
draw ($(a.east)-(0.5,0)$) -- (a.east);
endtikzpicture
enddocument


enter image description here



But, this approach is not effective, as the ticks length has to calculated manually.



Is there a better approach to do this (ticks in the circle would be like the lines on an alarm clock, which are inclined execept at 12, 3, 6 and 9 numbers).










share|improve this question






















  • If you don't want to calculate tick lengths, use polar coordinates.

    – JouleV
    7 hours ago











  • @JolueV that is a manual calculation as well where there is a chance for error or miscalculation.

    – subham soni
    7 hours ago















1















Referring to the question How to make add tick to node in tikz, how do I extend this to a circle shape in TikZ.



A simple approach is to draw lines as ticks by calculating the coordinates. Sample approach below:



documentclass[tikz]standalone
usetikzlibrarycalc

begindocument
begintikzpicture
node[circle,draw,minimum size=10cm] (a) at (0,0) ;
filldraw (a.center) circle [radius=0.1cm];
draw ($(a.center)-(4.5,0)$) -- (a.west);
draw ($(a.east)-(0.5,0)$) -- (a.east);
endtikzpicture
enddocument


enter image description here



But, this approach is not effective, as the ticks length has to calculated manually.



Is there a better approach to do this (ticks in the circle would be like the lines on an alarm clock, which are inclined execept at 12, 3, 6 and 9 numbers).










share|improve this question






















  • If you don't want to calculate tick lengths, use polar coordinates.

    – JouleV
    7 hours ago











  • @JolueV that is a manual calculation as well where there is a chance for error or miscalculation.

    – subham soni
    7 hours ago













1












1








1








Referring to the question How to make add tick to node in tikz, how do I extend this to a circle shape in TikZ.



A simple approach is to draw lines as ticks by calculating the coordinates. Sample approach below:



documentclass[tikz]standalone
usetikzlibrarycalc

begindocument
begintikzpicture
node[circle,draw,minimum size=10cm] (a) at (0,0) ;
filldraw (a.center) circle [radius=0.1cm];
draw ($(a.center)-(4.5,0)$) -- (a.west);
draw ($(a.east)-(0.5,0)$) -- (a.east);
endtikzpicture
enddocument


enter image description here



But, this approach is not effective, as the ticks length has to calculated manually.



Is there a better approach to do this (ticks in the circle would be like the lines on an alarm clock, which are inclined execept at 12, 3, 6 and 9 numbers).










share|improve this question














Referring to the question How to make add tick to node in tikz, how do I extend this to a circle shape in TikZ.



A simple approach is to draw lines as ticks by calculating the coordinates. Sample approach below:



documentclass[tikz]standalone
usetikzlibrarycalc

begindocument
begintikzpicture
node[circle,draw,minimum size=10cm] (a) at (0,0) ;
filldraw (a.center) circle [radius=0.1cm];
draw ($(a.center)-(4.5,0)$) -- (a.west);
draw ($(a.east)-(0.5,0)$) -- (a.east);
endtikzpicture
enddocument


enter image description here



But, this approach is not effective, as the ticks length has to calculated manually.



Is there a better approach to do this (ticks in the circle would be like the lines on an alarm clock, which are inclined execept at 12, 3, 6 and 9 numbers).







tikz-pgf ticks tikz-calc






share|improve this question













share|improve this question











share|improve this question




share|improve this question










asked 7 hours ago









subham sonisubham soni

4,86183187




4,86183187












  • If you don't want to calculate tick lengths, use polar coordinates.

    – JouleV
    7 hours ago











  • @JolueV that is a manual calculation as well where there is a chance for error or miscalculation.

    – subham soni
    7 hours ago

















  • If you don't want to calculate tick lengths, use polar coordinates.

    – JouleV
    7 hours ago











  • @JolueV that is a manual calculation as well where there is a chance for error or miscalculation.

    – subham soni
    7 hours ago
















If you don't want to calculate tick lengths, use polar coordinates.

– JouleV
7 hours ago





If you don't want to calculate tick lengths, use polar coordinates.

– JouleV
7 hours ago













@JolueV that is a manual calculation as well where there is a chance for error or miscalculation.

– subham soni
7 hours ago





@JolueV that is a manual calculation as well where there is a chance for error or miscalculation.

– subham soni
7 hours ago










2 Answers
2






active

oldest

votes


















1














Something like that?



documentclass[tikz]standalone
usetikzlibrarycalc

begindocument
begintikzpicture
node[circle,draw,minimum size=10cm] (a) at (0,0) ;
filldraw (a.center) circle [radius=0.1cm];
draw ($(a.center)-(4.5,0)$) -- (a.west);
draw ($(a.east)-(0.5,0)$) -- (a.east);
foreach X in 0,10,...,350
draw (a.X) -- ++ (X:0.2);
endtikzpicture
enddocument


enter image description here



OK, inside.



documentclass[tikz]standalone

begindocument
begintikzpicture
node[circle,draw,minimum size=10cm] (a) at (0,0) ;
filldraw (a.center) circle [radius=0.1cm];
foreach X in 0,10,...,350
draw (a.X) -- ++ (180+X:0.2);
endtikzpicture
enddocument


enter image description here



foreach X in 0,10,...,350 loops over X in 0,10,...,350, and then the nodes have anchors given in degrees, so (a.X) is a point at the boundary of a at the angle X. This syntax is mentioned in my previous answer to one of your questions. ++ (X:0.2) adds some shift in polar coordinates, X is the angle and 0.2 the radius. To have the ticks inwards, we need to add 180 degrees to X (one could also use (X:-0.2).)



And just for fun: a watch.



documentclass[tikz]standalone
begindocument
begintikzpicture[font=sffamily]
node[circle,draw,minimum size=10cm] (a) at (0,0) ;
filldraw (a.center) circle [radius=0.1cm];
foreach X in 1,...,12
draw (a.-X*30+90) -- ++ (270-X*30:0.3) node[pos=1.5]X;
endtikzpicture
enddocument


enter image description here






share|improve this answer

























  • the ticks need to be inside like in an alarm clock or watch

    – subham soni
    6 hours ago











  • Also can you explain technically the code in the for loop

    – subham soni
    6 hours ago











  • @subhamsoni I added inwards ticks and an explanation.

    – marmot
    6 hours ago


















1














Use foreach and polar coordinates (with care of course) you can have this



documentclass[tikz]standalone

begindocument
begintikzpicture
node[circle,draw,minimum size=10cm] (a) at (0,0) ;
filldraw (a.center) circle [radius=0.1cm];
foreach i [count=j] in 60,30,...,-270
draw (i:5) -- (i:4.5);
draw (i:4.2) node[font=large] j;

endtikzpicture
enddocument


enter image description here



In this code, the for loops iterates through the set 60, 30, 0, −30, −60, −90, −120, −150, −180, −210, −240, −270. Each of these numbers is the angle of the "ticks". I use polar coordinate based on these iterators, so the angles of the "ticks" are accurate.



I set a counter for the for loop (j) to add numbers to the picture.




documentclass[tikz]standalone

begindocument
begintikzpicture
node[circle,draw,minimum size=10cm] (a) at (0,0) ;
filldraw (a.center) circle [radius=0.1cm];
foreach i [count=j] in 60,30,...,-270
draw (i:5) -- (i:4.5);
draw (i:4.2) node[font=large] j;

foreach i in 84,78,...,-270 draw (i:5) -- (i:4.8);
endtikzpicture
enddocument


enter image description here



The second for loop is to draw smaller ticks. 84, 78, etc. are the angles of these ticks.






share|improve this answer

























  • can you explain the code in the for loop as well please

    – subham soni
    6 hours ago











  • @subhamsoni I added some explanations.

    – JouleV
    6 hours ago











  • what is draw (i:5) -- (i:4.5)

    – subham soni
    6 hours ago











  • @subhamsoni It draws a line joining point (i:5) and point (i:4.5); all of them are polar coordinates. Point (x:y) is defined like this.

    – JouleV
    6 hours ago











Your Answer








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2 Answers
2






active

oldest

votes








2 Answers
2






active

oldest

votes









active

oldest

votes






active

oldest

votes









1














Something like that?



documentclass[tikz]standalone
usetikzlibrarycalc

begindocument
begintikzpicture
node[circle,draw,minimum size=10cm] (a) at (0,0) ;
filldraw (a.center) circle [radius=0.1cm];
draw ($(a.center)-(4.5,0)$) -- (a.west);
draw ($(a.east)-(0.5,0)$) -- (a.east);
foreach X in 0,10,...,350
draw (a.X) -- ++ (X:0.2);
endtikzpicture
enddocument


enter image description here



OK, inside.



documentclass[tikz]standalone

begindocument
begintikzpicture
node[circle,draw,minimum size=10cm] (a) at (0,0) ;
filldraw (a.center) circle [radius=0.1cm];
foreach X in 0,10,...,350
draw (a.X) -- ++ (180+X:0.2);
endtikzpicture
enddocument


enter image description here



foreach X in 0,10,...,350 loops over X in 0,10,...,350, and then the nodes have anchors given in degrees, so (a.X) is a point at the boundary of a at the angle X. This syntax is mentioned in my previous answer to one of your questions. ++ (X:0.2) adds some shift in polar coordinates, X is the angle and 0.2 the radius. To have the ticks inwards, we need to add 180 degrees to X (one could also use (X:-0.2).)



And just for fun: a watch.



documentclass[tikz]standalone
begindocument
begintikzpicture[font=sffamily]
node[circle,draw,minimum size=10cm] (a) at (0,0) ;
filldraw (a.center) circle [radius=0.1cm];
foreach X in 1,...,12
draw (a.-X*30+90) -- ++ (270-X*30:0.3) node[pos=1.5]X;
endtikzpicture
enddocument


enter image description here






share|improve this answer

























  • the ticks need to be inside like in an alarm clock or watch

    – subham soni
    6 hours ago











  • Also can you explain technically the code in the for loop

    – subham soni
    6 hours ago











  • @subhamsoni I added inwards ticks and an explanation.

    – marmot
    6 hours ago















1














Something like that?



documentclass[tikz]standalone
usetikzlibrarycalc

begindocument
begintikzpicture
node[circle,draw,minimum size=10cm] (a) at (0,0) ;
filldraw (a.center) circle [radius=0.1cm];
draw ($(a.center)-(4.5,0)$) -- (a.west);
draw ($(a.east)-(0.5,0)$) -- (a.east);
foreach X in 0,10,...,350
draw (a.X) -- ++ (X:0.2);
endtikzpicture
enddocument


enter image description here



OK, inside.



documentclass[tikz]standalone

begindocument
begintikzpicture
node[circle,draw,minimum size=10cm] (a) at (0,0) ;
filldraw (a.center) circle [radius=0.1cm];
foreach X in 0,10,...,350
draw (a.X) -- ++ (180+X:0.2);
endtikzpicture
enddocument


enter image description here



foreach X in 0,10,...,350 loops over X in 0,10,...,350, and then the nodes have anchors given in degrees, so (a.X) is a point at the boundary of a at the angle X. This syntax is mentioned in my previous answer to one of your questions. ++ (X:0.2) adds some shift in polar coordinates, X is the angle and 0.2 the radius. To have the ticks inwards, we need to add 180 degrees to X (one could also use (X:-0.2).)



And just for fun: a watch.



documentclass[tikz]standalone
begindocument
begintikzpicture[font=sffamily]
node[circle,draw,minimum size=10cm] (a) at (0,0) ;
filldraw (a.center) circle [radius=0.1cm];
foreach X in 1,...,12
draw (a.-X*30+90) -- ++ (270-X*30:0.3) node[pos=1.5]X;
endtikzpicture
enddocument


enter image description here






share|improve this answer

























  • the ticks need to be inside like in an alarm clock or watch

    – subham soni
    6 hours ago











  • Also can you explain technically the code in the for loop

    – subham soni
    6 hours ago











  • @subhamsoni I added inwards ticks and an explanation.

    – marmot
    6 hours ago













1












1








1







Something like that?



documentclass[tikz]standalone
usetikzlibrarycalc

begindocument
begintikzpicture
node[circle,draw,minimum size=10cm] (a) at (0,0) ;
filldraw (a.center) circle [radius=0.1cm];
draw ($(a.center)-(4.5,0)$) -- (a.west);
draw ($(a.east)-(0.5,0)$) -- (a.east);
foreach X in 0,10,...,350
draw (a.X) -- ++ (X:0.2);
endtikzpicture
enddocument


enter image description here



OK, inside.



documentclass[tikz]standalone

begindocument
begintikzpicture
node[circle,draw,minimum size=10cm] (a) at (0,0) ;
filldraw (a.center) circle [radius=0.1cm];
foreach X in 0,10,...,350
draw (a.X) -- ++ (180+X:0.2);
endtikzpicture
enddocument


enter image description here



foreach X in 0,10,...,350 loops over X in 0,10,...,350, and then the nodes have anchors given in degrees, so (a.X) is a point at the boundary of a at the angle X. This syntax is mentioned in my previous answer to one of your questions. ++ (X:0.2) adds some shift in polar coordinates, X is the angle and 0.2 the radius. To have the ticks inwards, we need to add 180 degrees to X (one could also use (X:-0.2).)



And just for fun: a watch.



documentclass[tikz]standalone
begindocument
begintikzpicture[font=sffamily]
node[circle,draw,minimum size=10cm] (a) at (0,0) ;
filldraw (a.center) circle [radius=0.1cm];
foreach X in 1,...,12
draw (a.-X*30+90) -- ++ (270-X*30:0.3) node[pos=1.5]X;
endtikzpicture
enddocument


enter image description here






share|improve this answer















Something like that?



documentclass[tikz]standalone
usetikzlibrarycalc

begindocument
begintikzpicture
node[circle,draw,minimum size=10cm] (a) at (0,0) ;
filldraw (a.center) circle [radius=0.1cm];
draw ($(a.center)-(4.5,0)$) -- (a.west);
draw ($(a.east)-(0.5,0)$) -- (a.east);
foreach X in 0,10,...,350
draw (a.X) -- ++ (X:0.2);
endtikzpicture
enddocument


enter image description here



OK, inside.



documentclass[tikz]standalone

begindocument
begintikzpicture
node[circle,draw,minimum size=10cm] (a) at (0,0) ;
filldraw (a.center) circle [radius=0.1cm];
foreach X in 0,10,...,350
draw (a.X) -- ++ (180+X:0.2);
endtikzpicture
enddocument


enter image description here



foreach X in 0,10,...,350 loops over X in 0,10,...,350, and then the nodes have anchors given in degrees, so (a.X) is a point at the boundary of a at the angle X. This syntax is mentioned in my previous answer to one of your questions. ++ (X:0.2) adds some shift in polar coordinates, X is the angle and 0.2 the radius. To have the ticks inwards, we need to add 180 degrees to X (one could also use (X:-0.2).)



And just for fun: a watch.



documentclass[tikz]standalone
begindocument
begintikzpicture[font=sffamily]
node[circle,draw,minimum size=10cm] (a) at (0,0) ;
filldraw (a.center) circle [radius=0.1cm];
foreach X in 1,...,12
draw (a.-X*30+90) -- ++ (270-X*30:0.3) node[pos=1.5]X;
endtikzpicture
enddocument


enter image description here







share|improve this answer














share|improve this answer



share|improve this answer








edited 6 hours ago

























answered 7 hours ago









marmotmarmot

113k5145274




113k5145274












  • the ticks need to be inside like in an alarm clock or watch

    – subham soni
    6 hours ago











  • Also can you explain technically the code in the for loop

    – subham soni
    6 hours ago











  • @subhamsoni I added inwards ticks and an explanation.

    – marmot
    6 hours ago

















  • the ticks need to be inside like in an alarm clock or watch

    – subham soni
    6 hours ago











  • Also can you explain technically the code in the for loop

    – subham soni
    6 hours ago











  • @subhamsoni I added inwards ticks and an explanation.

    – marmot
    6 hours ago
















the ticks need to be inside like in an alarm clock or watch

– subham soni
6 hours ago





the ticks need to be inside like in an alarm clock or watch

– subham soni
6 hours ago













Also can you explain technically the code in the for loop

– subham soni
6 hours ago





Also can you explain technically the code in the for loop

– subham soni
6 hours ago













@subhamsoni I added inwards ticks and an explanation.

– marmot
6 hours ago





@subhamsoni I added inwards ticks and an explanation.

– marmot
6 hours ago











1














Use foreach and polar coordinates (with care of course) you can have this



documentclass[tikz]standalone

begindocument
begintikzpicture
node[circle,draw,minimum size=10cm] (a) at (0,0) ;
filldraw (a.center) circle [radius=0.1cm];
foreach i [count=j] in 60,30,...,-270
draw (i:5) -- (i:4.5);
draw (i:4.2) node[font=large] j;

endtikzpicture
enddocument


enter image description here



In this code, the for loops iterates through the set 60, 30, 0, −30, −60, −90, −120, −150, −180, −210, −240, −270. Each of these numbers is the angle of the "ticks". I use polar coordinate based on these iterators, so the angles of the "ticks" are accurate.



I set a counter for the for loop (j) to add numbers to the picture.




documentclass[tikz]standalone

begindocument
begintikzpicture
node[circle,draw,minimum size=10cm] (a) at (0,0) ;
filldraw (a.center) circle [radius=0.1cm];
foreach i [count=j] in 60,30,...,-270
draw (i:5) -- (i:4.5);
draw (i:4.2) node[font=large] j;

foreach i in 84,78,...,-270 draw (i:5) -- (i:4.8);
endtikzpicture
enddocument


enter image description here



The second for loop is to draw smaller ticks. 84, 78, etc. are the angles of these ticks.






share|improve this answer

























  • can you explain the code in the for loop as well please

    – subham soni
    6 hours ago











  • @subhamsoni I added some explanations.

    – JouleV
    6 hours ago











  • what is draw (i:5) -- (i:4.5)

    – subham soni
    6 hours ago











  • @subhamsoni It draws a line joining point (i:5) and point (i:4.5); all of them are polar coordinates. Point (x:y) is defined like this.

    – JouleV
    6 hours ago















1














Use foreach and polar coordinates (with care of course) you can have this



documentclass[tikz]standalone

begindocument
begintikzpicture
node[circle,draw,minimum size=10cm] (a) at (0,0) ;
filldraw (a.center) circle [radius=0.1cm];
foreach i [count=j] in 60,30,...,-270
draw (i:5) -- (i:4.5);
draw (i:4.2) node[font=large] j;

endtikzpicture
enddocument


enter image description here



In this code, the for loops iterates through the set 60, 30, 0, −30, −60, −90, −120, −150, −180, −210, −240, −270. Each of these numbers is the angle of the "ticks". I use polar coordinate based on these iterators, so the angles of the "ticks" are accurate.



I set a counter for the for loop (j) to add numbers to the picture.




documentclass[tikz]standalone

begindocument
begintikzpicture
node[circle,draw,minimum size=10cm] (a) at (0,0) ;
filldraw (a.center) circle [radius=0.1cm];
foreach i [count=j] in 60,30,...,-270
draw (i:5) -- (i:4.5);
draw (i:4.2) node[font=large] j;

foreach i in 84,78,...,-270 draw (i:5) -- (i:4.8);
endtikzpicture
enddocument


enter image description here



The second for loop is to draw smaller ticks. 84, 78, etc. are the angles of these ticks.






share|improve this answer

























  • can you explain the code in the for loop as well please

    – subham soni
    6 hours ago











  • @subhamsoni I added some explanations.

    – JouleV
    6 hours ago











  • what is draw (i:5) -- (i:4.5)

    – subham soni
    6 hours ago











  • @subhamsoni It draws a line joining point (i:5) and point (i:4.5); all of them are polar coordinates. Point (x:y) is defined like this.

    – JouleV
    6 hours ago













1












1








1







Use foreach and polar coordinates (with care of course) you can have this



documentclass[tikz]standalone

begindocument
begintikzpicture
node[circle,draw,minimum size=10cm] (a) at (0,0) ;
filldraw (a.center) circle [radius=0.1cm];
foreach i [count=j] in 60,30,...,-270
draw (i:5) -- (i:4.5);
draw (i:4.2) node[font=large] j;

endtikzpicture
enddocument


enter image description here



In this code, the for loops iterates through the set 60, 30, 0, −30, −60, −90, −120, −150, −180, −210, −240, −270. Each of these numbers is the angle of the "ticks". I use polar coordinate based on these iterators, so the angles of the "ticks" are accurate.



I set a counter for the for loop (j) to add numbers to the picture.




documentclass[tikz]standalone

begindocument
begintikzpicture
node[circle,draw,minimum size=10cm] (a) at (0,0) ;
filldraw (a.center) circle [radius=0.1cm];
foreach i [count=j] in 60,30,...,-270
draw (i:5) -- (i:4.5);
draw (i:4.2) node[font=large] j;

foreach i in 84,78,...,-270 draw (i:5) -- (i:4.8);
endtikzpicture
enddocument


enter image description here



The second for loop is to draw smaller ticks. 84, 78, etc. are the angles of these ticks.






share|improve this answer















Use foreach and polar coordinates (with care of course) you can have this



documentclass[tikz]standalone

begindocument
begintikzpicture
node[circle,draw,minimum size=10cm] (a) at (0,0) ;
filldraw (a.center) circle [radius=0.1cm];
foreach i [count=j] in 60,30,...,-270
draw (i:5) -- (i:4.5);
draw (i:4.2) node[font=large] j;

endtikzpicture
enddocument


enter image description here



In this code, the for loops iterates through the set 60, 30, 0, −30, −60, −90, −120, −150, −180, −210, −240, −270. Each of these numbers is the angle of the "ticks". I use polar coordinate based on these iterators, so the angles of the "ticks" are accurate.



I set a counter for the for loop (j) to add numbers to the picture.




documentclass[tikz]standalone

begindocument
begintikzpicture
node[circle,draw,minimum size=10cm] (a) at (0,0) ;
filldraw (a.center) circle [radius=0.1cm];
foreach i [count=j] in 60,30,...,-270
draw (i:5) -- (i:4.5);
draw (i:4.2) node[font=large] j;

foreach i in 84,78,...,-270 draw (i:5) -- (i:4.8);
endtikzpicture
enddocument


enter image description here



The second for loop is to draw smaller ticks. 84, 78, etc. are the angles of these ticks.







share|improve this answer














share|improve this answer



share|improve this answer








edited 6 hours ago

























answered 7 hours ago









JouleVJouleV

9,16322256




9,16322256












  • can you explain the code in the for loop as well please

    – subham soni
    6 hours ago











  • @subhamsoni I added some explanations.

    – JouleV
    6 hours ago











  • what is draw (i:5) -- (i:4.5)

    – subham soni
    6 hours ago











  • @subhamsoni It draws a line joining point (i:5) and point (i:4.5); all of them are polar coordinates. Point (x:y) is defined like this.

    – JouleV
    6 hours ago

















  • can you explain the code in the for loop as well please

    – subham soni
    6 hours ago











  • @subhamsoni I added some explanations.

    – JouleV
    6 hours ago











  • what is draw (i:5) -- (i:4.5)

    – subham soni
    6 hours ago











  • @subhamsoni It draws a line joining point (i:5) and point (i:4.5); all of them are polar coordinates. Point (x:y) is defined like this.

    – JouleV
    6 hours ago
















can you explain the code in the for loop as well please

– subham soni
6 hours ago





can you explain the code in the for loop as well please

– subham soni
6 hours ago













@subhamsoni I added some explanations.

– JouleV
6 hours ago





@subhamsoni I added some explanations.

– JouleV
6 hours ago













what is draw (i:5) -- (i:4.5)

– subham soni
6 hours ago





what is draw (i:5) -- (i:4.5)

– subham soni
6 hours ago













@subhamsoni It draws a line joining point (i:5) and point (i:4.5); all of them are polar coordinates. Point (x:y) is defined like this.

– JouleV
6 hours ago





@subhamsoni It draws a line joining point (i:5) and point (i:4.5); all of them are polar coordinates. Point (x:y) is defined like this.

– JouleV
6 hours ago

















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