Golden Ratio Calculator
Given the longer segment a, find the golden-ratio partner lengths: the shorter segment b = a/φ and the whole length a + b = a×φ.
Inputs explained
- Longer segment length (a) — The length of the longer segment, in any unit.
How to use it
- Fill in the fields above — each input has a hint describing exactly what to enter
- Press Calculate to get your result instantly, right on this page
- Copy the result, save the tool to favorites, or share and embed it anywhere
Understanding the result
Example: For a = 10, the shorter segment is about 6.18 and the whole length is about 16.18 (φ ≈ 1.618034).
Frequently asked questions
Which segment should I enter — the longer one or the shorter one? Enter the longer segment length (a); the calculator derives the shorter segment as a/φ and the total length as a×φ, so entering the shorter length by mistake will scale everything incorrectly.
How precise is φ in the calculation? The calculator uses φ ≈ 1.618034 (rounded for display), though internally more decimal places are used so results stay accurate for typical inputs.
Is the Golden Ratio Calculator free to use? Yes — it is completely free, with no sign-up, no download and no usage limits. You can use it as often as you need.
Is my data private? Yes. The calculation runs entirely in your browser — the values you enter are never sent to our servers, stored or shared with anyone.
What information do I need? Just the following: Longer segment length (a). Each field includes a hint explaining exactly what to enter.
Can I use it on my phone? Yes — the tool is fully responsive and works on any device, and the same calculator is available in the EasyWorkCalcs mobile app.
Privacy
Everything you enter into the Golden Ratio Calculator is processed entirely in your browser. Nothing is uploaded, stored or shared — your data stays on your device.