Knife Sharpening Angle

Calculate Knife Sharpening Angle instantly with the exact formula and a worked example.

Knife Sharpening Angle

Blade width (edge to spine)mm
Spine height above the stonemm
Sharpening angle per side
20.0293°
Calculate Knife Sharpening Angle instantly with the exact formula and a worked example.
Inclusive angle (both sides)
40.1°
Suitable for
European kitchen knives
Spine height for 15°
10.4mm
Spine height for 20°
13.7mm

This calculator turns two things you can measure with a ruler — blade width and how high the spine sits above the stone — into a sharpening angle in degrees.

How the calculation works

With the edge on the stone and the spine raised, the blade forms a right triangle: the blade width W is the hypotenuse and the spine height h is the opposite side. The angle per side is therefore θ = arcsin(h / W). Doubling it gives the inclusive angle, the full included angle of the edge when both sides are sharpened equally.

Enter the blade width in millimetres, from edge to spine at the point you are sharpening — it differs between heel and tip. Spine height is the gap between stone and spine, also in mm. The tool also shows how high to lift the spine for 15° and 20° per side, handy for sizing a stack of coins or a wedge guide.

Based on the angle it suggests a typical use: under 12° per side for very fine edges, 12–17° for Japanese kitchen knives, 17–22° for Western kitchen knives, 22–27° for outdoor and hunting knives, and 27° or more for axes and machetes.

Worked example

The defaults are a 40 mm blade with the spine raised 13.7 mm. sin θ = 13.7 / 40 = 0.3425, so θ ≈ 20.0° per side and the inclusive angle ≈ 40.1° — a typical Western chef's knife edge. For 15° the same knife needs a spine lift of 40 × sin 15° ≈ 10.4 mm; for 20°, 13.7 mm.

Things to keep in mind

  • The formula assumes an idealised flat blade. Spine thickness and grind add roughly 1–2° on a typical kitchen knife, so aim slightly lower if you need an exact angle.
  • A lower angle cuts more easily but rolls or chips sooner. Knives used on bones, frozen food or glass boards need a sturdier edge.
  • Single-bevel tools (chisels, plane irons, some Japanese knives) have the whole bevel on one side, so the per-side angle is the full edge angle.
  • Match the existing bevel rather than changing it: re-profiling removes a lot of steel. Colour the bevel with a marker and see where the stone takes it off.

More about: Knife Sharpening Angle

What it calculates

The “Knife Sharpening Angle” calculator computes Sharpening angle per side in ° from 2 parameters: blade width (edge to spine) (mm), spine height above the stone (mm).

A handy everyday calculator for daily tasks.

Example calculation

With parameters Blade width (edge to spine) = 40 mm, Spine height above the stone = 13.7 mm the result is 20.03 °.

How to use

  1. Enter blade width (edge to spine) and spine height above the stone — each field above is adjustable with a slider.
  2. Sharpening angle per side (°) is calculated automatically as you type.
  3. Check the worked example below to see the formula applied to real numbers.
  4. Copy the result or bookmark this calculator.

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FAQ

What angle should I use for a kitchen knife?
Japanese kitchen knives are commonly sharpened at about 12–15° per side, Western ones at 15–20°. The manufacturer's recommendation is the best guide.
What is the inclusive angle?
It is the total angle between the two bevels. With a symmetric edge it is twice the per-side angle: 20° per side means 40° inclusive.
How do I hold a steady angle freehand?
Put a coin stack or wooden wedge of the calculated height under the spine for a few strokes, then remove it and try to keep the same hand position.
Why do I get a different value at the tip?
The blade narrows toward the tip. With the same spine lift, a narrower blade gives a steeper angle, so lower the spine as you move toward the point.

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