Geographic Midpoint Calculator
Last updated: July 2026 · Free · No sign-up required
Enter values above and click Calculate to see your result instantly.
Inside the Geographic Midpoint Calculator
The engine behind this calculator evaluates Great-circle midpoint of two (lat, lon) points using spherical trigonometry directly in your browser — nothing is sent to a server, and results update as you type.
The reference table below covers the most common geographic midpoint calculator cases at a glance, the methodology section breaks the calculation into verifiable steps, and the FAQ tackles the edge cases.
Quick reference
| Input | Format |
|---|---|
| Point 1 latitude | decimal degrees, e.g. 40.7128 |
| Point 1 longitude | decimal degrees, e.g. −74.0060 |
| Point 2 latitude | decimal degrees |
| Point 2 longitude | decimal degrees |
functions Shows the working, not just the answer
For students and teachers, the final number is only half the value. Every math tool here exposes the formula it applied, the intermediate steps, and the rounding rule, so you can follow along, check your homework, or use the answer in a proof or report with confidence.
calculate Accurate to the spec
Calculations use 64-bit floating point with sensible rounding for the domain (currency to 2 decimals, percentages to 4 decimals, algebra to 6 significant figures). Where exact rational arithmetic matters — fractions, factorials, simplification — we use a dedicated BigNumber path so 1/3 + 1/6 returns ½, not 0.49999.
school Free for classroom use
Educators are welcome to link to any math calculator on CalcaTools from a class site, Google Classroom, or worksheet. The pages are mobile-friendly, free, ad-supported (so we can keep them free) and have no sign-up wall — students just click and use them in class or at home.
tips_and_updates Pair with the spoke articles
Below the calculator we link a small set of plain-English explainer pages — "What is a percentage?", "Why does PEMDAS matter?", and so on. They cover the underlying concept in 4–6 short paragraphs. Read those before the calculator if the topic is new, or after if you want the extra context.
Interpretation guide
| Output | What it tells you |
|---|---|
| Midpoint | The halfway lat/long along the great-circle path. |
| Great-circle distance | Shortest distance over the sphere, in km and miles. |
| Use | Meeting points, route planning and centre-of-two-cities queries. |
Formula & methodology
Formula: Great-circle midpoint of two (lat, lon) points using spherical trigonometry
The geographic midpoint is the point halfway along the shortest (great-circle) path between two coordinates, computed with spherical trigonometry rather than a simple average.
- Enter the latitude and longitude of both points in decimal degrees.
- The calculator converts them to radians and finds the great-circle midpoint.
- It also computes the haversine distance between the points.
- Read the midpoint coordinates and the distance in km and miles.
Worked example: Between New York (40.7, −74.0) and Los Angeles (34.0, −118.2), the midpoint is near 39.5, −97.1 in Kansas, about 3,935 km apart.