Venn Diagram Calculator

Interactive venn diagram calculator with solution. Click on the chart to enter data. Using a form (easier on mobile)
Number of groups
Click on any label on the chart to insert numbers. Modify the labels as needed.

A-Only
B-Only
C-Only
AB-Only
AC-Only
BC-Only
A
B
C
A ∩ B
A ∩ C
B ∩ C
A∩B∩C
Total
A U B U C
No group

Each time you enter "number of items" on the chart, the calculator will compute the corresponding quantities and display them in blue.

  
Style and color:
Frame background, Fonts:
  
  
  

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Solution

The calculation steps will appear here!

Venn diagram online

The interactive Venn diagram calculator and problem solver allow you to easily solve problems with two, three, or four circles.
Enter the number of items for each group or part of the group, and this calculator will calculate the corresponding groups. Alternatively, change the input field to 'Data list'; in this case, enter the list for each group, and the calculator will calculate the intersections and draw the Venn diagram.
Venn Diagram Calculator

Venn diagram example

In this example each student can learn one or more of the following subjects:
Science, Physical education, and History.
If you press the 'Sample labels' button, and then 'Calculate', the Venn diagram maker will create a Venn diagram with names for every group and intersection.
If you press the 'Sample data' button, and then 'Calculate', the Venn diagram calculator will create a Venn diagram with a list of items for every group and intersection.
If you press the 'Sample total' button, and then click 'Calculate', the Venn diagram calculator will create a Venn diagram based on the quantities of items in the groups and intersections.

How to use the venn diagram calculator:

The Venn diagram calculator, helps you to solve venn diagram problems. To leave the group name or intersection label empty, simply fill in a space. To add a new line to the label, press Enter after first line and continue to the second line. When you enter a value, the Venn diagram calculator will update the value automatically.

1. Data list:

  • Enter the list of objects for each set, and the venn diagram calculator will calculate all the intersections.
  • In this case, the "Output" field will appear, and you can choose one of the following options:
    • Number of data items: Shows the quantity in each group and intersection.
    • Data list: Shows the items in each group and intersection.
    • Item quantity and data list: Shows the number of items and the items in each group and intersection.

2. Number of data items:

  • Enter the number of items in each group and intersection.
  • For groups with intersections, you can enter two numbers:
    • A: The number of objects, including the intersections.
    • A-Only: The number of objects exclusively belonging to this specific group.
  • Each time you enter a number, the Venn diagram calculator will check if it can calculate the number of items in any connected group or intersection based on the numbers you have already entered.
  • If possible, it will calculate the number of items and show it in blue.
  • After calculation was done you can not change the data.
  • The Venn diagram calculator will display the calculation steps in the "solution" section.
  • THe calculate will try to calculate on when one value is missing

Fields

  • Title - Fill in the chart title and font size
  • Subtitle - Fill in the chart subtitle and font size
  • Input
    Data list
    Number of data items
  • Output
    Relevant only for the "Data list".
    Number of data items
    Data list
    Item quantity and data list
  • Group - Enter name and choose the color. Fill in a space for the empty group name
  • Intersection - Enter intersection name. Fill in a space for the empty intersection name
  • Circles - Choose the number of circles in the Venn diagram.
  • Background - Change the color of the diagram area.
  • Border width - The cycle border. Fill zero for no border
  • Border Color
    Darker - The same color as the circle, but darker.
    Darker level - Range: 0 to 100.
    0 - the border color will be the same as the bar color
    100 - the darkest possible color - black.
    One color - Your chosen border color for all the circles.
    Border color - choose the color.
  • Opacity - The circles' opacity
  • Font - To customize the appearance of your text, choose font type, font size and color
  • Download chart - Use the camera icon to download a PNG chart
  • Circles overlap - You can control the level of circle overlap by adjusting a slider after generating the diagram.
  • Text Distance - This is the text distance from the diagram center. You may increase the distance to improve clarity.
  • Remove intersections' labels - When this feature is enabled, it excludes labels of intersections and shows only numbers.
  • Remove mutually exclusive intersections - When this feature is enabled, it excludes labels and numbers of intersections that do not overlap.
  • Remove 'no group' label - When this feature is enabled, it excludes the 'no group' label .

How to solve a Venn diagram problem.

When problem contains numbers of items

  1. Read the question.
  2. For each number, determine the relevant group or intersection.
  3. Enter the labels.
  4. If the number is for the entire group, enter it on the "All" field of the relevant table.
  5. If the number is for the group but without the intersections, enter it on the "Only" field.
  6. When you enter a number, the calculator will attempt to calculate the corresponding values and display them in blue
    In this scenario, the calculator will generate step-by-step solution in the dedicated solution paragraph.
  7. Press the "Calculate" button, and the venn diagram calculator will generate the ven diagram

When problem contains data lists

  1. Read the question
  2. Enter the labels.
  3. Enter comma delimited list of values per each group.
  4. Choose the output, number, list or both.
  5. Press the "Calculate" button, and the venn diagram calculator will calculate all the intersection lists generate the ven diagram.