Midpoint Calculator
Find the point exactly halfway between two coordinates.
What the Midpoint Calculator does
The midpoint is simply the average of the two x-coordinates paired with the average of the two y-coordinates. It sits on the segment, equidistant from both ends.
Formula
M = ((x₁ + x₂) ÷ 2, (y₁ + y₂) ÷ 2)
Inputs explained
| Input | Unit | Required | Notes |
|---|---|---|---|
| x₁ | number | Yes | — |
| y₁ | number | Yes | — |
| x₂ | number | Yes | — |
| y₂ | number | Yes | — |
How to use it
- Enter x₁, y₁, x₂ and y₂.
- Select Calculate.
Worked example
Find the middle of a segment from (2, 3) to (8, 11).
- x₁, y₁
- 2, 3
- x₂, y₂
- 8, 11
((2+8)/2, (3+11)/2) = (5, 7).
Reading the result
- The midpoint is the average of the two x-coordinates paired with the average of the two y-coordinates, and it always lies on the segment.
- It is also the centre of the circle that has the segment as its diameter.
Common mistakes
- Subtracting the coordinates instead of averaging them. Subtraction gives the distance components, not the centre.
- Pairing the x of one point with the y of the other, which produces a corner of the bounding rectangle rather than the midpoint.
Frequently asked questions
Can I find a point that is not halfway?
Yes — use the section formula. For a point 1/3 of the way, compute x₁ + (x₂ − x₁)/3 and do the same for y.