ForHosting KIT · Developer Utilities

Grid bearing from true

This grid bearing from true bearing calculator converts a geographic true azimuth into a projected map-grid bearing by applying the signed meridian convergence angle for the coordinate system you are using, and returns the reverse conversion from grid back to true so you can verify the arithmetic in one step.

● BetaFree · in your browser

Run — free How it works & API

Use it from WebAPIEmailTelegramApp soon

Surveyors, GIS technicians, cadastre teams, and navigation instructors constantly move between true north along a meridian and grid north on a Transverse Mercator, UTM, State Plane, or national grid sheet. Meridian convergence is the signed angular offset between those two north references at a place on the projection, and the classic identities are grid equals true minus convergence and true equals grid plus convergence, with bearings wrapped into the half-open interval from zero to three hundred sixty degrees. The engine is fully deterministic finite arithmetic: no projection library call, no network lookup of a geodetic model, no random sampling, and no date-dependent shortcuts. Use it free in the browser for field checks, worksheet answer keys, and CAD prep, or call the API at $0.002 per successful request when you need reproducible true–grid fixtures in CI, mapping software, or teaching demos.

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

POSThttps://api.kit.forhosting.com/geo/grid-bearing

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/grid-bearing \
  -H "Authorization: Bearer $KIT_KEY" \
  -H "Content-Type: application/json" \
  -d '{"true_bearing":45,"convergence":1.25}'

const res = await fetch("https://api.kit.forhosting.com/geo/grid-bearing", {
  method: "POST",
  headers: {
    "Authorization": `Bearer ${process.env.KIT_KEY}`,
    "Content-Type": "application/json"
  },
  body: JSON.stringify({
    "true_bearing": 45,
    "convergence": 1.25
  })
});
const { task_id } = await res.json();

import os, requests

res = requests.post(
    "https://api.kit.forhosting.com/geo/grid-bearing",
    headers={"Authorization": f"Bearer {os.environ['KIT_KEY']}"},
    json={
    "true_bearing": 45,
    "convergence": 1.25
},
)
task_id = res.json()["task_id"]

<?php
$res = file_get_contents("https://api.kit.forhosting.com/geo/grid-bearing", false, stream_context_create([
  "http" => [
    "method"  => "POST",
    "header"  => "Authorization: Bearer " . getenv("KIT_KEY") . "\r\nContent-Type: application/json",
    "content" => '{"true_bearing":45,"convergence":1.25}',
  ],
]));
$task = json_decode($res, true);

body := bytes.NewBufferString(`{"true_bearing":45,"convergence":1.25}`)
req, _ := http.NewRequest("POST", "https://api.kit.forhosting.com/geo/grid-bearing", body)
req.Header.Set("Authorization", "Bearer "+os.Getenv("KIT_KEY"))
req.Header.Set("Content-Type", "application/json")
res, _ := http.DefaultClient.Do(req)

Example request

{
  "true_bearing": 45,
  "convergence": 1.25
}

Example response

{
  "task_id": "tsk_a1b2c3d4e5f6a1b2c3d4e5f6",
  "type": "geo.grid_bearing",
  "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

Per request$0.002

Published price — no tokens, no invented credits. A failed task is never charged.

Limits

max_abs_deg 1000000000000000

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.

Read the full KIT documentation →