Midpoint Calculator
How It Works
This midpoint calculator uses established formulas to provide accurate results.
The basic rule:
- Midpoint = ((x₁+x₂)/2, (y₁+y₂)/2)
- Distance = √((x₂-x₁)² + (y₂-y₁)²)
Results are estimates. Consult a professional for critical decisions.
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Explore Allday Everyday Math →Frequently Asked Questions
What is the midpoint formula?
The midpoint of two points (x₁,y₁) and (x₂,y₂) is the average of their coordinates: ((x₁+x₂)/2, (y₁+y₂)/2). It finds the exact center between two points.
What is the distance formula?
The distance formula d = √((x₂-x₁)² + (y₂-y₁)²) comes from the Pythagorean theorem. It calculates the straight-line distance between two points.
When do I use the midpoint formula?
Use it whenever you need to find the center between two points — for example, the center of a line segment, the center of a circle given endpoints of a diameter, or in proofs involving bisectors.