Venn Diagram Maker

Compare and classify with 2 or 3 circles — type items into each region, recolour and rename the circles, shade any set operation and download a clean picture for your notebook or project.

Class 3–11 Study Tools 2 or 3 circles Sets mode (Class 11)

A Venn diagram shows what two or three groups share and what makes each one different: the overlap is the intersection A ∩ B. To count without listing everything, use n(A ∪ B) = n(A) + n(B) − n(A ∩ B). If 25 students like cricket, 18 like football and 10 like both, 33 like at least one of the two.

Circles & title

A
B
C

Items in each region

Choose a region (or click it on the diagram), then type items.

Only AA − B
Add several at once by separating them with commas.

Templates

Start from a ready-made example and edit it.

Click any region of the diagram to add items there.

Shade a set operation

Type an expression or tap the buttons — the matching part of the diagram is shaded.

How it works

Sort, compare and see sets

A Venn diagram shows what two or three groups share and what makes each one different. Build one for a science comparison, a story chart or a Class 11 sets problem.

Pick 2 or 3 circles

Name each circle and choose its colour.

Fill the regions

Click a region and type items — they arrange themselves neatly inside the shape.

Or type the sets

In Sets mode, list A, B and C and every region is worked out for you.

Shade, download, print

Shade A ∪ B, A ∩ B, A − B or A′, then save a PNG or print it.

Reading the regions

  • A ∩ B (intersection) — the overlap: items in both A and B.
  • A ∪ B (union) — everything in A or B or both.
  • A − B (difference) — in A but not in B, the “only A” part.
  • A′ (complement) — everything in U that is not in A.

Counting formula

n(A ∪ B) = n(A) + n(B) − n(A ∩ B)

Example: 25 students like cricket, 18 like football and 10 like both → 25 + 18 − 10 = 33 like at least one. For three sets:

n(A∪B∪C) = n(A)+n(B)+n(C) − n(A∩B) − n(B∩C) − n(A∩C) + n(A∩B∩C)

De Morgan’s laws

(A ∪ B)′ = A′ ∩ B′

(A ∩ B)′ = A′ ∪ B′

Shade both sides with the tool to see that they cover exactly the same region.

Study tip: Venn diagrams are great for comparing two characters in a story, two freedom fighters, or herbivores and carnivores in science — write the similarities in the overlap and the differences on each side.
Questions & answers

Venn Diagram Maker — your questions

How do I make a Venn diagram online?

Choose two or three circles, name them and pick their colours, then click any region of the diagram and type the items that belong there. Items in the overlap belong to both groups. When it looks right, download it as a PNG for a project or notebook, or print it directly.

What do union, intersection, difference and complement mean?

A ∩ B, the intersection, is the overlap: items in both A and B. A ∪ B, the union, is everything in A or B or both. A − B, the difference, is the part in A but not in B, the "only A" region. A′, the complement, is everything in the universal set U that is not in A.

What is the formula for n(A ∪ B)?

n(A ∪ B) = n(A) + n(B) − n(A ∩ B). You subtract the intersection because the items in both sets were counted twice. With 25 cricket fans, 18 football fans and 10 who like both, 25 + 18 − 10 = 33 like at least one. For three sets, add the three singles, subtract the three pairs, then add back n(A ∩ B ∩ C).

How do I solve a three-circle Venn diagram problem?

Always fill in from the middle outwards. Write n(A ∩ B ∩ C) in the centre first, then work out each pair region by subtracting the centre from the pair total, then each single region by subtracting everything already placed inside that circle. Anything left over goes outside the circles but inside U.

What are De Morgan's laws?

(A ∪ B)′ = A′ ∩ B′ and (A ∩ B)′ = A′ ∪ B′. In words, the complement of a union is the intersection of the complements, and the complement of an intersection is the union of the complements. Shade both sides in Sets mode and you can see they cover exactly the same region.

Can I use a Venn diagram for subjects other than maths?

Yes, and it is one of the most useful comparison tools in school. Compare two characters in a story, two freedom fighters in history, herbivores and carnivores in science, or plants and animals. Write the similarities in the overlap and the differences on each side.

Can I check my sets answer with the tool?

Yes. Switch to Sets mode and type the elements of A, B and C, using a form such as 1..20 for a range of whole numbers. The tool lists every region, works out each set operation with its element count, and you can click a row to shade that operation on the diagram.