Circular Arc – Doughnut Charts

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A few weeks back Jhouz asked a question in the Chandoo.org ForumsIs is possible to create a doughnut chart like this one in excel?

This post will examine how to make it

Alert: It isn’t as straight forward as you may first think!

A couple of users responded with a Doughnut Chart

Which at first glance looks quite similar.

But the original author wanted round ends on the ends of the Doughnut segment. He also wanted a smooth chart.

A quick scan through the properties of a Doughnut Chart reveals there is no optionality to control the ends of the Doughnuts Segments. An alternative approach was required.

A Solution

Before starting, if you want to you can follow along using a sample file with the worked examples shown below: Download Here

The solution I posed was to use an X-Y Scatter chart for the line segments and apply a thick Line style.

The part of this approach that makes it work is that Line Styles have a property for the Lines End including an option for a round end.

The solution chart above consists of 2 lines

The first is the Background (Grey) line, which is a complete circle

The second line is the green line, which is a segment of the circle equal to in this case 45% of a circle or 162 Degrees (0.45 x 360). It is in front of the Grey line.

To apply this technique I used a number of Named Formula, and based the chart on these named formula:

First for the Background Grey chart segment

To define the Grey segment I applied 3 Named Formula:

c1_Rad =RADIANS(-(ROW(OFFSET(Sheet1!$A$1,,,360+1,1))-91))
_x1 =COS(c1_Rad)
_y1 =SIN(c1_Rad)

The Grey circle is defined by an Array of Radians of each degree between 0 and 360 of a circle.

C1_Rad                =RADIANS(-(ROW(OFFSET(Sheet1!$A$1,,,360+1,1))-91))

This works by using the Excel Row() and Offset() function to generate an array of Degrees from 0 to 360

The formula ROW(OFFSET(Sheet1!$A$1,,,360+1,1))

Will return ={1;2;3;4;5;6; …. ;358;359;360;361}

Note that we have taken the array 1 degree past 360 because the Row’s lowest value is Row 1, not row 0.

We then subtract 91 degrees from this to allow the Chart to start at the top of the circle.

The adjusted formula ROW(OFFSET(Sheet1!$A$1,,,360+1,1))-91

Returns: ={-90;-89;-88;-87; … ;268;269;270}

Finally the in front of the array changes the direction of the circle from Anticlockwise to clockwise.

Returns: ={90;89;88;87; … ;-268;-269;-270}

The Radians() function is used to convert the array of Degrees into an array of Radians

Returns: ={1.57;1.55;1.53; … ;-1.22;-1.23;-1.25}

The Radians above were rounded to 2 decimals places for display on this post, but Excel internally is using the full 15 decimal place precision.

We can now use this array of Radians to draw the background circle

To do this setup 2 new Named Formula

_x1: =COS(c1_Rad)

_y1: =SIN(c1_Rad)

Each of these will return an array of the X and Y values corresponding to each of the Radians from the previous c1_Rad array. The X and Y values will vary between -1 and 1. You may need these for Chart Scaling later.

If you want a circle of different radius simply multiply the x and y formulas like
_x1: =COS(c1_Rad)*5 for a radius of 5 and the same for the _y1 named formula

To plot these we add a X-Y Scatter Chart.

Select a single cell. Then goto the Insert, Chart, Scatter Chart menu and select a Scatter Chart with Smooth lines. This will give you a blank chart.

With the Chart Selected, Right click on the chart area and choose Select Data…

Add a Series using the Add button. Use the Worksheet Name Sheet1 and Named Formula _x1 & _y1 for the X and Y values

You can leave the Series Name blank or enter a value like “Background Circle”.
Note that you must enter the Sheet Name including the ! preceding the Named Formula name. Once you have accepted the inputs, if you return to the Edit Series dialog, notice that Excel now displays the Workbooks name instead of the Worksheets name. That’s quite ok.

You will now have a chart which looks like:

Finally Right click on the first series and select Format Data Series.

Set the Line Color to a Light Grey and set the Line Width to 12 . Check that Markers are set to None

Next the Foreground Green chart segment

To draw the front arc of the circle we add a few more Named Formula

_pct =Sheet1!$C$6
c2_Rad =RADIANS(-(ROW(OFFSET(Sheet1!$A$1,,,_pct*360+1,1))-91))
_x2 =COS(c2_Rad)
_y2 =SIN(c2_Rad)

_pct stores the value of the percentage of the circle directly from the reference cell on the worksheet eg: 45%

To draw an arc we only need to factor the 360 Degrees for a full circle back to the percentage required for the arc: ie: from 0 to 45% x 360 degrees = 162 Degrees. Hence drawing an Arc from 0 degrees to 162 Degrees.

To do this we use the same formula as before except that we set the range to the 45% of 360 degrees using the Named Formula:

C2_Rad: =RADIANS(-(ROW(OFFSET(Sheet1!$A$1,,,_pct*360+1,1))-91))

Add another series to the chart using.

With the Chart Selected, Right click on the chart area and choose Select Data…

X values: =Sheet1!_x2

Y values: =Sheet1!_y2

Next select the chart and ensure that the 45% circle is in front of the full circle

Select the Chart’s 2nd series and change the line width and line color to suit the impact you want.

Finally select the 45% line

Goto the Lines properties and set the Cap type to Round

Add the Measurement

With the Chart selected, goto the Insert, Text Box dialog and select a text box style and insert it.

With the text box selected, goto the Formula Bar and enter the Formula =_pct and press Enter or click the Tick icon to accept.

Finally with the text box selected, Change the Font Size to suit eg: 64 and Format the Text using an appropriate style from the Drawing Tools, Format Menu

Ensure the Text box is wide enough to display up to 100% include the percentage sign

The Final Chart

and with another value…

Other line type endings

Experiment with other Line Ends and see what you can make?

and Line Styles and Thicknesses?

Multiple Series

By careful use of  chart series you can add multiple measurements to the same chart and use a combination of display properties to enhance your chart

Conclusion

In conclusion I have demonstrated a successful solution to Jhouz’s original post and then extended it a bit further.

The Author acknowledges that there is limited use for doughnut charts and only recommends them in limited circumstances.

I hope these enhancements allow you to better use and emphasise your data in your situation as well as add another Excel technique to your arsenal.

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30 Responses to “Rescue oddly shaped data – Battle between Formulas, VBA and Power Query”

  1. MF says:

    Nice use of Power Query! Power Query is simply awesome! But somehow a lot of people are punishing themselves by not using it (not learning it).

    An imperfect 4th approach for consideration... no codes at all...
    Select myrange.
    Go to Special --> Blank
    Delete Cell --> Shift cell left
    90% done... now we just need to move the data of 2nd column to the bottom of 1st column
    Of course... Power Query is the best.
    Cheers,

  2. There is another way but it involves multiple steps:
    Copy the values in column E, move the cursor to F5, Paste Special with Skip Blanks, OK
    Copy the values in column D, move the cursor to F8, Paste Special with Skip Blanks, OK
    And so on.
    This works perfectly, albeit a little clumsily apart from the values in B17 and C16, which can be moved with simple copy and paste

  3. Robson says:

    Power Query Forever! I do not know how I survived for so long without knowing and using this tool, I can not recommend it to my colleagues, but by the way they prefer to suffer to learn.

    My congratulations here from Brazil.

  4. Haz says:

    I rolled my eyes when I saw that data

    Using decimal places is a nice trick to order data, thanks for that

    And tweaking the first formula a bit, you can use OFFSET instead of INDIRECT

    =OFFSET($A$1, MIN(IF(myrange, ROW(myrange)), ROWS(A$1:A1))-1, RIGHT(TEXT(MIN(IF(myrange, ROW(myrange) + COLUMN(myrange)*0.00001), ROWS(A$1:A1)), ".00000"), 5)-1)

    • Michael Connor says:

      Tried the above formula with the downloaded oddly shaped data file and I could not get it to work. I get #value without ctrl+shift+enter, and #ref with ctrl+shift+enter.

      • Haz says:

        Sorry, it was SMALL, not MIN.
        Add with CTRL+SHIFT+ENTER.

        • Michael Connor says:

          Thank you for your formula. Like the indirect formula I tested this one in older versions of EXCEL and it worked without ALTERATION in EXCEL 95. Very impressive.

  5. Bertie Hechter says:

    Too complicated

    Use =Sum to summarize all the sells to the left and Bobs Your Uncle

  6. Michael Connor says:

    I tested this formula in versions of Excel all the way back to Excel 95

    =IF(ISERROR(INDIRECT("R"&SUBSTITUTE(TEXT(SMALL(IF(MyRange"",ROW(MyRange)+COLUMN(MyRange)*0.00001),ROWS(A$1:A9)),"00000.00000"),".","C"),FALSE)),"",(INDIRECT("R"&SUBSTITUTE(TEXT(SMALL(IF(MyRange"",ROW(MyRange)+COLUMN(MyRange)*0.00001),ROWS(A$1:A9)),"00000.00000"),".","C"),FALSE)))

    So there are multiple ways of cleaning up messy data by formulas.

    • Chandoo says:

      Wow.. Excel 95. Who knew people still use that. But as you have shown, Excel has all these beautiful and powerful functions for 23 years. It has data sciency stuff before DS was even a thing.

      • Michael Connor says:

        I had a problem with pasting the formula in the original post.
        Formula should be: =IF(ISERROR(INDIRECT("R"&SUBSTITUTE(TEXT(SMALL(IF(myrange"",ROW(myrange)+COLUMN(myrange)*0.00001),ROWS(A$1:A1)),"00000.00000"),".","C"),FALSE)),"",(INDIRECT("R"&SUBSTITUTE(TEXT(SMALL(IF(myrange"",ROW(myrange)+COLUMN(myrange)*0.00001),ROWS(A$1:A1)),"00000.00000"),".","C"),FALSE)))

        EXCEL even in a 16 bit version, is a very robust and capable program.

  7. Michael Connor says:

    I don't like the VBA code. If you have a blank row in MyRange, the last entry in the range is doubled up in the paste.here range.

    • Chandoo says:

      Not really. The macro is writing one cell at a time from paste.here. You have to clean the range before, which I was too lazy to write. But a line like Range(range("paste.here"), range("paste.here").end(xldown)).clearcontents should do the trick.

      • Michael Connor says:

        Adding Range(range("paste.here"), range("paste.here").end(xldown)).clearcontents fixed the problem.

  8. A Rakesh Patro says:

    for step split column by delimiter i am not getting option of split into rows or columns. Can you help me in this

  9. Marc says:

    Thanks Chandoo for promoting Power Query.

    To simplify further, you can "Unpivot Columns" instead of right click on the newly created column and split it by comma in to rows in step 3 of Power Query.

  10. johan says:

    i used

    =LOOKUP(10000,B5:F5)

    and got the answers. I just plagiarized this formula somewhere and use it, maybe you can explain why it works.
    Regards

    • Chandoo says:

      @Johan... I am not sure if the formula works correctly. When I tested it with the sample data in this post, it showed #N/As in two cells. Essentially, it will only give first value in each row. So if a row has multiple values, then subsequent values are missed. LOOKUP() function goes thru a list and finds the first value that is less than or equal to the input - in this case 10000 in B5:F5.

  11. Ben says:

    I have the need to convert pdf's to excel on occasion and they often come out a mess like this. I have used:

    Cell G2 =COUNT(myrange)
    Cell G3 =IFERROR(IF(G2-1<1,"",G2-1),"") copied down to G100
    Cell H2 =IFERROR(LARGE(myrange,G2),"") copied down to H100

  12. Patrick says:

    Waouw...

    =IFERROR(INDIRECT("R" & SUBSTITUTE(TEXT(SMALL(IF(myrange "", ROW(myrange) + COLUMN(myrange)*0.00001),
    ROWS(A$1:A1)), "00000.00000"), ".", "C"), FALSE), "")

    but CTRL Shift Enter with {} before and after 🙂 😀

  13. Peter B says:

    Another possibility.
    This assumes that you have a row index 'k' to use in the SMALL function and a column index 'h' to identify the columns of 'myRange'.
    If you define 'coord' to refer to
    =k+h/10 [assuming h<10]
    then it will be possible to recover values later based upon location within 'myRange'. The formula 'nb' that identifies non-blanks by coordinates is given by
    = SMALL( IF(myRange"", coord), k )
    Finally, to unpick the pieces
    = INDEX( myRange, INT(nb), 10*MOD(nb, 1) )

  14. Peter B says:

    Whilst I am here and making trouble the PQ solution is also a tad over-complicated. All that is needed is to unpivot the entire table and remove the Attribute column.

    The advanced editor would show
    let
    Source = Excel.CurrentWorkbook(){[Name="myRange"]}[Content],
    #"Unpivoted Columns" = Table.UnpivotOtherColumns(Source, {}, "Attribute", "Value"),
    #"Removed Columns" = Table.RemoveColumns(#"Unpivoted Columns",{"Attribute"})
    in
    #"Removed Columns"

  15. vivian.liu says:

    1.fill the blank cells with 0
    2.the requested column value=sum of those mess number column
    but this can be used in only one column has value

  16. Juan Carlos Barreto says:

    Chandoo

    And if we use the formula SEARCH (100000000, B5: F5)

    JC

  17. Daniel Dion says:

    Another approach with Power Query, it will still work if the number of columns changed:
    let
    Source = Excel.CurrentWorkbook(){[Name="myrange"]}[Content],
    #"Added Custom" = Table.AddColumn(Source, "List", each Record.ToList(_)),
    #"Removed Other Columns" = Table.SelectColumns(#"Added Custom",{"List"}),
    #"Expanded LIst" = Table.ExpandListColumn(#"Removed Other Columns", "List"),
    #"Filtered Rows" = Table.SelectRows(#"Expanded LIst", each ([List] null))
    in
    #"Filtered Rows"

  18. Bob says:

    Nowadays, you can just use TOCOL on Excel 2024, MS 365, and Web Excel. It has a parameter to ignore blanks/errors/both.

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