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Midpoint Calculator

Average the x values and average the y values. It is the point that halves the segment, which comes up constantly in drafting.

Your numbers

Midpoint x

5

Midpoint y

7

Distance

8.4853

Formula

Midpoint x = (x₁ + x₂) ÷ 2, Midpoint y = (y₁ + y₂) ÷ 2

For three or more points, the centroid is the mean of all coordinates — the midpoint is just the two-point case.

What to enter

InputDefaultAccepted range
x₁The horizontal coordinate of the first point.2No limit
y₁The vertical coordinate of the first point.4No limit
x₂The horizontal coordinate of the second point.8No limit
y₂The vertical coordinate of the second point.10No limit

Step by step

FormulaMidpoint x = (x₁ + x₂) ÷ 2, Midpoint y = (y₁ + y₂) ÷ 2
With the default numbersMidpoint x = (2 + 8) ÷ 2, Midpoint y = (4 + 10) ÷ 2
AnswerMidpoint x = 5

Quick reference table

Results when only x₁ changes and everything else stays put.

x₁Midpoint xMidpoint yDistance
14.579.2195
1.54.7578.8459
2578.4853
35.577.8102
4677.2111

What each result means

ResultAt default values
Midpoint xThe horizontal coordinate halfway between.5
Midpoint yThe vertical coordinate halfway between.7
DistanceThe straight-line distance between two points.8.4853

Common mistakes

For three or more points, the centroid is the mean of all coordinates — the midpoint is just the two-point case.

Glossary

x₁
The horizontal coordinate of the first point.
y₁
The vertical coordinate of the first point.
x₂
The horizontal coordinate of the second point.
y₂
The vertical coordinate of the second point.
Midpoint x
The horizontal coordinate halfway between.
Midpoint y
The vertical coordinate halfway between.
Distance
The straight-line distance between two points.

Frequently asked questions

QHow is Midpoint Calculator calculated?

Midpoint x = (x₁ + x₂) ÷ 2, Midpoint y = (y₁ + y₂) ÷ 2 — Average the x values and average the y values. It is the point that halves the segment, which comes up constantly in drafting.

QCan you walk through an example?

With x₁ 2, y₁ 4, x₂ 8, y₂ 10, the answer is Midpoint x 5.

QWhat do I need to enter?

Enter x₁, y₁, x₂, y₂. The result recalculates as you type, and an empty box counts as zero.

QHow much does the answer move if I change a number?

Changing only x₁ moves the answer to x₁ 1 → Midpoint x 4.5 and x₁ 4 → Midpoint x 6. The table below lays out five steps.

QHow are the numbers rounded?

Money is shown to the nearest whole unit, percentages to one decimal place and everything else to two. What you see is rounded; the calculation itself carries the unrounded value forward.

QAnything to watch out for?

For three or more points, the centroid is the mean of all coordinates — the midpoint is just the two-point case.

Related calculators

Keep your length units consistent across inputs — mixing centimetres and metres throws results far off.