**Updates:**

Growing pie chart with Raphael JS – https://jbkflex.wordpress.com/2014/04/07/animated-growing-pie-chart-with-rapahel-js/

Back to the actual post:-

In one of my recent projects I had to create a simple pie chart kind of structure in SVG (Scalable Vector Graphics) based on values given in an array. So if the array has five values in it then the pie chart will have five slices, each slice representing a value. Here is how it looks,

Calculating angles swiped by each slice

Alright, so we need the angles that are swiped or covered by a each of the pie slices. The values are supplied by an array

var pieData = [113,100,50,28,27];

Each value will cover some angle in the circular space. Let us find the angle covered by the first value in the array i.e 113. One thing to note is that the 5 values (the array) together, will cover the circular space which is a complete 360 degrees. So 113 + 100 + 50 + 28 + 27 = 318 is making a 360 degrees or a circle. So 113 will cover (113 * 360 degrees)/318 which is approximately 128 degrees. So, similarly by looping the array you can calculate the angles swiped by each value and store them in a new array for later use.

**The Approach**

Now, that we have the angles calculated, the next step is to approach the problem. For my case I have used Raphael library to generate SVG in JavaScript and I would suggest you do the same. Raphael is easy to learn and will not take you a day to do so.

The critical part is to generate a circular arc (a pie slice in this case) in SVG. For that I am using the SVG path element. SVG path has an option for generating elliptical arcs and that is what we need. I will not go into the details of the SVG shape elements and paths. You can have a look at them here. The important part is to determine the data string that needs to be defined for the SVG path.

var dataString = "M200,200 L380,200 A180,180 0 0,1 89,341 z"; var arc = paper.path(dataString);

Here dataString is holding a string value which might baffle you. Quickly going over it lets see what each term means.

**Mx,y – Move to**: move your pencil or drawing point to x,y position in the co-ordinate space. Remember no line is drawn.

**Lx,y – Line to** : draw a straight line till x,y. So your line will be drawn from the co-ordinates you specified with Move to.

**Arx,ry x-axis-rotation large-arch-flag,sweepflag x,y** – **Arc to**: Draws an elliptical arch from the current point to the point x,y. rx and ry are the elliptical radius in x and y direction. The x-rotation determines how much the arch is to be rotated around the x-axis. It only seems to have an effect when rx and ry have different values. The large-arch-flag doesn’t seem to be used (can be either 0 or 1). Neither value (0 or 1) changes the arch. The sweep-flag determines the direction to draw the arch in, it can be either 0 or 1. I have used 1 which means clockwise direction. 0 is for anticlockwise rotation.

**z**– Closes the path. A line is drawn from the last point to the first.

I have specified the values in the data string. My drawing starts from x=200 and y=200, so this will be the center point. From there I am drawing a line to a point in the circumference of the circle (138,369) which we will calculate. 180,180 specified with A means that my arc will be a part of a circular ellipse of x-radius = 180 and y-radius=180. 89,341 is the point till which the arc will be drawn. Again we will calculate it. And then z closes the path. See the figure for an understanding.

**Start Angle, End Angle, Finding points on the circumference of the circle**

Now, how to calculate the coordinates on the circumference, the points that the arc will be drawn with (380,200 to 89,341). A little bit of trigonometry will help us here. Since I am using clockwise direction to draw the arcs so I am considering all the angles from the x-axis. Lets look at the equations below,

x1 = 200 + 180*Math.cos(Math.PI*startAngle/180); //for eg. 380 y1 = 200 + 180*Math.sin(Math.PI*startAngle/180); //for eg. 200 x2 = 200 + 180*Math.cos(Math.PI*endAngle/180); //for eg. 89 y2 = 200 + 180*Math.sin(Math.PI*endAngle/180); //for eg. 341

One thing to note is that cos and sin takes angles in radians. Till now we have calculated the angles in degrees. So wee need to convert this to radians. You can do it this way,

angle in radians = Math.PI*(your angle in degrees)/180

To calculate points of the circumaference I have used trigonometric equations for a point on a circle which is pretty straight,

x = rx + radius * cos(theta) and y = ry + radius * sin(theta)

where rx is the x-coordinate of center and ry is the y-coordinate of the center of the circle. As you can see the x1,y1 and x2,y2 points follow this pattern. To calculate startAngle and endAngle I have used these equations,

startAngle = 0; endAngle = startAngle + angleSwipedByASlice;

To start with my startAngle is zero since I am starting to draw from the x-axis. And then calculate the endAngle by adding the start angle and the angle swiped by that arc or slice. These equations are used inside a loop so I am adding the previous angle to get new value of angle. The figure will make things clear.

Have a look at the full code. This will make things clear.

<!DOCTYPE html> <html xmlns="http://www.w3.org/1999/xhtml"> <head> <title>Simple SVG Pie Chart</title> <script type="text/javascript" src="js/raphael-min.js"></script> <script type="text/javascript"> var paper; var arc; var colorArr = ["#468966","#FFF0A5","#FFB03B","#B64926","#8E2800"]; var pieData = [113,100,50,28,27]; var sectorAngleArr = []; var total = 0; var startAngle = 0; var endAngle = 0; var x1,x2,y1,y2 = 0; function init(){ paper = Raphael("holder"); //CALCULATE THE TOTAL for(var k=0; k < pieData.length; k++){ total += pieData[k]; } //CALCULATE THE ANGLES THAT EACH SECTOR SWIPES AND STORE IN AN ARRAY for(var i=0; i < pieData.length; i++){ var angle = Math.ceil(360 * pieData[i]/total); sectorAngleArr.push(angle); } drawArcs(); } function drawArcs(){ for(var i=0; i <sectorAngleArr.length; i++){ startAngle = endAngle; endAngle = startAngle + sectorAngleArr[i]; x1 = parseInt(200 + 180*Math.cos(Math.PI*startAngle/180)); y1 = parseInt(200 + 180*Math.sin(Math.PI*startAngle/180)); x2 = parseInt(200 + 180*Math.cos(Math.PI*endAngle/180)); y2 = parseInt(200 + 180*Math.sin(Math.PI*endAngle/180)); var d = "M200,200 L" + x1 + "," + y1 + " A180,180 0 0,1 " + x2 + "," + y2 + " z"; //1 means clockwise alert(d); arc = paper.path(d); arc.attr("fill",colorArr[i]); } } </script> </head> <body onload="init();"> <div id="holder" style="width:600px; height:400px;"> </div> </body> </html>

**Add ons**

You can make this simple chart into something much more interactive….

1) You can add interactivity to the chart, say on clicking a pie slice it shows some relevant data.

2) You can use the code to generate some cool dashboard kind of application

3) You can use animations as well to move out the slice clicked on.

In fact Raphael has methods for all these. You can try it out.

Hope it helps…

Nice and informative post.

BTW, remember “Avance Chart Control” in WPF ? 🙂

thanks….. ..ya i remember the Avance Chart control……..my god…..don wan to remember it 🙂

can this be used for 3d effect? I need to generate 3D pie chart

Very helpful! Thank you very much!

How do you handle pie sectors that are >50% of the total? The arc that works for the rest of the slices does not work because the center of the theoretical circle from which the arc is cut moves away from the center of the pie chart…

I really need to look into this. Thanks for pointing it out.

Hi Joseph, I did some poking around, and the way to do it is to change the large-arc-flag parameter to 1 instead of 0. This causes the arc to be drawn around the center of the circle, instead of beside it.

Thanks for pointing it out. Yes, the large-arc-flag is an important parameter for an SVG path/curve.

You need to check the sector angle and set the large_arc_flag to “1” if the angle is >180.

var large_arc_flag=0;

if (sectorAngleArr[i]>180) {large_arc_flag = 1;}

var d = “M200 200 L” + x1 + ” ” + y1 + ” A180 180 0 ” + large_arc_flag + ” 1 ” + x2 + ” ” + y2 + ” z”; //1 means clockwise

No Example, incomplete code, why???

Dan,

Just use the full code in the post.

Thank you so much for writing this! I’ve read other tutorials online, but none of them posted the full code online. As soon as I got the raphael-min.js this worked!

Well-written with good example code. Thanks for writing this – it’s what I was looking for.

Good Teacher

This was very helpful. In the end I split >24% segments into multiples to avoid the arc issues.

But is there are reason you are not just using:

Math.PI * usePercentage * 2.0

if usePercentage is 0 to 1 it just maps

This helps me to draw pie chart in very easy manner . Thanks

Thank your for this! I’ve put SCG piecharts on a world map using your code as inspiration. Check it out: http://blog.csaladen.es/szekelyfold lakossag 2/index.html There is a description as well here, that is, if you know Hungarian 🙂 http://blog.csaladen.es/szekelyfold lakossag 2/redirect.html

Great thank you so much. Unfortunately I do not know Hungarian…:)

I know this is an older article, but is there any way you would be willing to update this so the colors are gradient? And the inside of the circle is hollow? So basically there’s only a line left, with a different gradient per slice (percentage).

I’m been struggling with SVG, and I’m running out of time for a certain project.

try the code with just 1 value as data, full pie!