Degrees to minutes converter
One degree is exactly 60 arc minutes, so your decimal reading is multiplied by 60 and returned as a single total, not split into degrees, minutes and seconds. Handy for star charts, telescope pointing and survey bearings. Free in your browser.
- Free
- Runs in your browser
- No sign-up
- Your data stays on your device
Run — free
Worked example
- Degrees
- 1
- Result
- 60 arcmin
- Converted
- 60
- Deg
- 1
- Minutes
- 60
A degrees-to-minutes converter turns a decimal-degree angle into total arc minutes by multiplying by sixty. One degree is defined as sixty minutes of arc, so the map is exact and linear: minutes equals degrees times sixty, with no pi, no trigonometric tables, and no intermediate conversion through radians or seconds.
Why one degree is sixty arc minutes
The sexagesimal split of a circle is older than the degree symbol itself: Babylonian astronomers divided a full turn into three hundred sixty degrees, and each of those degrees into sixty minutes of arc, then each minute into sixty seconds of arc. That nested-sixty convention still governs star catalogs, telescope pointing, survey bearings, and the small-angle columns of GIS metadata. Because one degree is defined as sixty minutes of arc, converting a decimal-degree reading into total arc minutes is an exact linear scale: minutes equals degrees times sixty.
There is no trigonometric identity, no pi, and no rounding table hiding in the middle. One and a half degrees is exactly ninety arc minutes; one tenth of a degree is exactly six arc minutes; a right angle of ninety degrees is five thousand four hundred arc minutes; a full turn of three hundred sixty degrees is twenty-one thousand six hundred arc minutes. Approximate mental shortcuts such as multiply by sixty-ish, or conversions that first go through radians with truncated pi, drift on multi-revolution angles and on fractional-degree field notes.
The output is a single total in arc minutes, not a broken-down degrees-minutes-seconds triple, which is what people searching for degrees to minutes actually need when they already hold a decimal reading.
Practical tips, checks, and related searches
Round-trip sanity checks are easy: convert the definitional one degree and confirm you receive exactly sixty arc minutes after rounding, convert ninety and confirm five thousand four hundred for a right angle, or convert three hundred sixty and confirm twenty-one thousand six hundred for a full turn. When teaching, pair the exact path with a handheld calculator in degree mode so students see that sixty times the decimal reading is the total in minutes of arc, not a clock duration and not a leftover minutes field inside a DMS triple.
Stay inside the absolute range so the linear map cannot overflow into a non-finite result the solver must reject. This landing targets people searching for degrees to minutes, convert decimal degrees to arc minutes, or a deg times sixty calculator; it is not a general multi-unit angle hub, not a minutes-to-degrees primary form, and not a geographic decimal-to-DMS formatter that also emits leftover seconds.
Prefer this capability when the input is already in decimal degrees and you only need the total in arc minutes; if you must convert among many angular units in one call, or if you need degrees, leftover minutes, and seconds as three separate components, use a broader angle converter or a DMS tool instead. Keep requests small, pin the rounded minutes in tests, and you get reproducible totals for observing logs, GIS notes, and homework without standing up a computer-algebra stack of your own.
What you can do with it
Astronomy and observing logs
Turn decimal-degree offsets from catalogs or planetarium exports into total arc minutes for finder charts, pointing error budgets, and observing notebooks.
Surveying and GIS small-angle notes
Convert decimal-degree bearings or residual angles into arc minutes for field books and metadata that still quote minutes of arc.
Classroom sexagesimal drills
Students multiply decimal degrees by sixty and compare hand work against deterministic steps before submitting geometry or astronomy worksheets.
FAQ
What formula converts degrees to minutes?
minutes = degrees × 60. The factor is exact because one degree is defined as sixty minutes of arc, so a decimal-degree reading scales linearly into total arc minutes.
Are these clock minutes or arc minutes?
Arc minutes (minutes of arc), not hours-and-minutes of time. The output unit token is arcmin. A clock conversion would be a different search and a different capability.
How is this different from decimal degrees to DMS?
This tool returns the total in arc minutes (degrees × 60). A DMS converter splits the same angle into whole degrees, leftover minutes, and seconds. Use this landing when you want the single scaled total.
Is the degrees to minutes converter free?
The browser tool is free and runs locally.
How many arc minutes are in one and a half degrees?
Exactly ninety. The same rule gives six arc minutes for a tenth of a degree, five thousand four hundred for a right angle and twenty-one thousand six hundred for a full turn.
Related tools
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/conv/degrees-to-minutes \
-H "Authorization: Bearer $KIT_KEY" \
-H "Content-Type: application/json" \
-d '{"degrees":1}'const res = await fetch("https://api.kit.forhosting.com/conv/degrees-to-minutes", {
method: "POST",
headers: {
"Authorization": `Bearer ${process.env.KIT_KEY}`,
"Content-Type": "application/json"
},
body: JSON.stringify({
"degrees": 1
})
});
const { task_id } = await res.json();import os, requests
res = requests.post(
"https://api.kit.forhosting.com/conv/degrees-to-minutes",
headers={"Authorization": f"Bearer {os.environ['KIT_KEY']}"},
json={
"degrees": 1
},
)
task_id = res.json()["task_id"]<?php
$res = file_get_contents("https://api.kit.forhosting.com/conv/degrees-to-minutes", false, stream_context_create([
"http" => [
"method" => "POST",
"header" => "Authorization: Bearer " . getenv("KIT_KEY") . "\r\nContent-Type: application/json",
"content" => '{"degrees":1}',
],
]));
$task = json_decode($res, true);body := bytes.NewBufferString(`{"degrees":1}`)
req, _ := http.NewRequest("POST", "https://api.kit.forhosting.com/conv/degrees-to-minutes", body)
req.Header.Set("Authorization", "Bearer "+os.Getenv("KIT_KEY"))
req.Header.Set("Content-Type", "application/json")
res, _ := http.DefaultClient.Do(req)Example request
{
"degrees": 1
}Example response
{
"task_id": "tsk_a1b2c3d4e5f6a1b2c3d4e5f6",
"type": "conv.degrees_to_minutes",
"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.
Limits
max_abs | 1000000000000 |
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. |
Technical notes
Invalid or missing input fails with a clear invalid_input error instead of inventing a number.
How to call the API and what comes back
Absolute values must stay within the published limit of one trillion. One degree yields sixty arc minutes after rounding; ninety degrees yields five thousand four hundred; two and a half degrees yields one hundred fifty. Send a JSON body with one required finite number field named degrees. Aliases deg, d, value, angle, and input are accepted so SDK clients and form posts can use the name that fits the product. On success the response echoes rounded degrees and deg, sets minutes, arcmin, result, and converted to the same rounded arc-minute magnitude, unit to the token arcmin, from_unit to deg and to_unit to arcmin, factor to sixty, formula to the string minutes equals degrees times sixty, message to a short English summary, and steps to an ordered array of substitution lines that show the sexagesimal anchor and the multiply. Failed validation—missing fields, non-finite numbers, bare plus or minus signs, non-numeric strings, values outside absolute limits, or a non-finite converted result—returns invalid_input and is never charged. Pricing is a flat $0.002 per successful request with unit item. Prefer sending bare JSON numbers when you control the client; numeric strings are accepted only when they match a strict finite pattern without degree symbols, unit letters, thousand separators, or currency marks.
Practical tips, checks, and related searches
Failed tasks that return invalid_input do not consume prepaid balance, which keeps exploratory scripts cheap when learners deliberately omit degrees or pass text.
Technical questions
What happens on missing or non-numeric input?
The API returns invalid_input naming the problem (for example a missing degrees field or a value that is not a finite number). Failed tasks are not charged.