Venn Diagram Calculator
Verified Calculation Engine
The online Venn Diagram Calculator helps you calculate instantly and solve problems related to Sets Relations Functions. This tool provides accurate results using standard formulas and step-by-step calculation; you can view the formula with example in the calculator where available. Whether you are a student, teacher, or professional, this calculator simplifies complex calculations and saves time. Enter the required values below and get instant results. Results are shown clearly, with optional step-by-step explanation where applicable. The tool is free to use and works in any modern browser—no download or installation required. Bookmark this page for quick access whenever you need reliable Math Numbers calculations.
Solves set problems using Venn diagrams for two sets.
n(A ∪ B) = n(A) + n(B) - n(A ∩ B)
n(A - B) = n(A) - n(A ∩ B)
n(A') = n(U) - n(A)
Venn diagram formulas for two sets
Inputs
Results
Worked Examples
Example 1: Two Sets
A = {1, 2, 3, 4}, B = {3, 4, 5, 6}
- setA: [ 1, 2, 3, 4 ]
- setB: [ 3, 4, 5, 6 ]
- onlyA: 1, 2
- onlyB: 5, 6
- intersection: 3, 4
- union: 1, 2, 3, 4, 5, 6
Example 2: With Universal Set
A = {1, 2, 3}, B = {3, 4, 5}, U = {1, 2, 3, 4, 5, 6, 7}
- setA: [ 1, 2, 3 ]
- setB: [ 3, 4, 5 ]
- universalSet: [ 1, 2, 3, 4, 5, 6, 7 ]
- onlyA: 1, 2
- onlyB: 4, 5
- intersection: 3
- union: 1, 2, 3, 4, 5
- neither: 6, 7
About this calculator
Overview
Venn Diagram Calculator evaluates Venn Diagram for the math / sets-relations-functions library. Primary input cue: Set A [required]: First set (array of elements). Method anchor: n(A ∪ B) = n(A) + n(B) - n(A ∩ B) n(A - B) = n(A) - n(A ∩ B) n(A') = n(U) - n(A). Venn diagram formulas for two sets.
When to use
Appropriate when venn diagram is the target quantity and the form fields match your known data.
Inputs explained
- Set A [required]: First set (array of elements)
- Set B [required]: Second set (array of elements)
- Universal Set [optional]: Universal set (optional)
Formula / method
n(A ∪ B) = n(A) + n(B) - n(A ∩ B) n(A - B) = n(A) - n(A ∩ B) n(A') = n(U) - n(A). Venn diagram formulas for two sets (calculator id: venn-diagram-calculator).
Worked example
Worked values: setA = [1, 2, 3, 4], setB = [3, 4, 5, 6] → onlyA = [1, 2], onlyB = [5, 6], intersection = [3, 4], union = [1, 2, 3, 4, 5, 6]
Interpreting results
Read the primary output as venn diagram under the method on this page.
Assumptions
- Inputs for `venn-diagram-calculator` follow the on-page labels; values/shapes must match this operation.
- Units (when shown) must be consistent across inputs for venn diagram.
- Real-number arithmetic is used unless venn diagram explicitly needs integers.
Limitations
- Venn Diagram Calculator cannot invent missing inputs; incomplete forms stop short of a forged venn diagram value.
- Display rounding can differ slightly from a CAS/symbolic exact form of venn diagram.
- Complex/branch cuts and undefined points are not always interactively annotated for venn diagram.
Important note
Educational mathematics tool. Check edge cases and domain restrictions when results look unexpected.
How to Use This Calculator
- Enter the required values in the input fields.
- Click the Calculate button.
- View the computed result instantly.
Formula Used
n(A ∪ B) = n(A) + n(B) - n(A ∩ B) n(A - B) = n(A) - n(A ∩ B) n(A') = n(U) - n(A). Venn diagram formulas for two sets (calculator id: venn-diagram-calculator).
Example Calculation
Worked values: setA = [1, 2, 3, 4], setB = [3, 4, 5, 6] → onlyA = [1, 2], onlyB = [5, 6], intersection = [3, 4], union = [1, 2, 3, 4, 5, 6]
Frequently Asked Questions
What is Venn Diagram Calculator?
- Venn Diagram Calculator evaluates Venn Diagram for the math / sets-relations-functions library. Primary input cue: Set A [required]: First set (array of elements). Method anchor: n(A ∪ B) = n(A) + n(B) - n(A ∩ B) n(A - B) = n(A) - n(A ∩ B) n(A') = n(U) - n(A). Venn diagram formulas for two sets.
How does Venn Diagram Calculator work?
- n(A ∪ B) = n(A) + n(B) - n(A ∩ B) n(A - B) = n(A) - n(A ∩ B) n(A') = n(U) - n(A). Venn diagram formulas for two sets (calculator id: venn-diagram-calculator).
Why use this Math Numbers calculator?
- Appropriate when venn diagram is the target quantity and the form fields match your known data.