Polygon centroid calculator
The area-weighted centroid of a simple polygon is the balance point of a uniform lamina whose boundary is an ordered ring of vertices.
Run — free
Runs in your browser. Free, unlimited — your data never leaves this page.
On maps and in GIS pipelines that point is usually requested in WGS84 latitude and longitude: send the corners of a parcel, a campus outline, or a delivery zone and receive a single lat/lon pair that sits at the geometric center of area rather than at a naive average of the corner list. This capability implements the classical planar shoelace centroid on decimal-degree coordinates, rejects rings with fewer than three vertices, and returns structured JSON with the centroid, signed planar area, and a normalized vertex echo. Students, survey helpers, and map tools get a deterministic oracle they can pin in tests. The free browser widget runs on your device; the prepaid API charges $0.002 per successful item when servers and SDKs need the same contract without a local geometry stack.
How to use it
Enter your values in the form above. The tool checks them before calculating and shows the result on the same page.
Check your inputs
Use the labels and units shown next to each field. If something is missing or outside the allowed range, the page points to the field to fix.
Use it again or automate it
Use the browser tool for individual checks and the API when you need the same capability in an automated workflow.
What you can do with it
Get an answer now
Enter one set of values and see the result without building a spreadsheet or script.
Compare scenarios
Change one value at a time and rerun the calculation to understand what affects the result.
Automate repeated work
Use the API when the same calculation needs to run inside your product or workflow.
FAQ
How do I use this capability?
Complete the fields above and run it on this page. The form highlights anything that needs attention.
For developers — API access
Everything on this page is available programmatically. This section is for teams who want to wire it into their own systems; everyone else can just use the tool above.
API endpoint
Prefer to automate it? One authenticated POST creates the task; the result comes back by webhook or a signed link. The same capability also runs here on the web, by email and from Telegram — and soon from our app too.
Call it from your stack
curl -X POST https://api.kit.forhosting.com/geo/polygon-centroid \
-H "Authorization: Bearer $KIT_KEY" \
-H "Content-Type: application/json" \
-d '{"vertices":[{"lat":0,"lon":0},{"lat":0,"lon":4},{"lat":3,"lon":4},{"lat":3,"lon":0}]}'const res = await fetch("https://api.kit.forhosting.com/geo/polygon-centroid", {
method: "POST",
headers: {
"Authorization": `Bearer ${process.env.KIT_KEY}`,
"Content-Type": "application/json"
},
body: JSON.stringify({
"vertices": [
{
"lat": 0,
"lon": 0
},
{
"lat": 0,
"lon": 4
},
{
"lat": 3,
"lon": 4
},
{
"lat": 3,
"lon": 0
}
]
})
});
const { task_id } = await res.json();import os, requests
res = requests.post(
"https://api.kit.forhosting.com/geo/polygon-centroid",
headers={"Authorization": f"Bearer {os.environ['KIT_KEY']}"},
json={
"vertices": [
{
"lat": 0,
"lon": 0
},
{
"lat": 0,
"lon": 4
},
{
"lat": 3,
"lon": 4
},
{
"lat": 3,
"lon": 0
}
]
},
)
task_id = res.json()["task_id"]<?php
$res = file_get_contents("https://api.kit.forhosting.com/geo/polygon-centroid", false, stream_context_create([
"http" => [
"method" => "POST",
"header" => "Authorization: Bearer " . getenv("KIT_KEY") . "\r\nContent-Type: application/json",
"content" => '{"vertices":[{"lat":0,"lon":0},{"lat":0,"lon":4},{"lat":3,"lon":4},{"lat":3,"lon":0}]}',
],
]));
$task = json_decode($res, true);body := bytes.NewBufferString(`{"vertices":[{"lat":0,"lon":0},{"lat":0,"lon":4},{"lat":3,"lon":4},{"lat":3,"lon":0}]}`)
req, _ := http.NewRequest("POST", "https://api.kit.forhosting.com/geo/polygon-centroid", body)
req.Header.Set("Authorization", "Bearer "+os.Getenv("KIT_KEY"))
req.Header.Set("Content-Type", "application/json")
res, _ := http.DefaultClient.Do(req)Example request
{
"vertices": [
{
"lat": 0,
"lon": 0
},
{
"lat": 0,
"lon": 4
},
{
"lat": 3,
"lon": 4
},
{
"lat": 3,
"lon": 0
}
]
}Example response
{
"task_id": "tsk_a1b2c3d4e5f6a1b2c3d4e5f6",
"type": "geo.polygon_centroid",
"status": "queued",
"_links": {
"result": "/tasks/tsk_…/result"
}
}The API is asynchronous: the call returns a task_id immediately and the result arrives by webhook. Polling is capped at 1 req/s per task.
Pricing
Published price — no tokens, no invented credits. A failed task is never charged.
Errors
| HTTP | Code | Meaning |
|---|---|---|
401 | unauthorized | Missing or invalid API key. |
402 | insufficient_balance | Your balance doesn't cover the task price. |
404 | unknown_type | That task type doesn't exist. |
429 | rate_limited | Too many requests. Use the webhook instead of polling. |