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Instrument MI-14-104 · Other

Hyperfocal Distance Calculator

Focus at the hyperfocal distance and everything from half that distance out to the horizon renders acceptably sharp -- enter your lens settings to find it.

Instrument MI-14-104
Sheet 1 OF 1
Rev A
Verified
Type 14 — Depth of Field SER. 2026-14104

Hyperfocal distance (mm)

10,466.67

H = f^2 / (N x c) + f

The working Every figure verified twice
  1. hyperfocalMm = pow(50, 2) ⁄ (8·0.03) + 50 = 10,466.67
Worksheet log
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How this instrument works

Hyperfocal distance is the focus point that maximizes depth of field for a given lens and aperture: focus exactly there, and everything from half that distance all the way out to infinity will appear acceptably sharp. It's a favorite technique in landscape photography, where the goal is often to keep both a nearby foreground element and a distant horizon in focus within the same frame.

The formula depends on three things: focal length, f-number (aperture), and the circle of confusion -- the largest blur spot that still reads as a sharp point at normal viewing size and distance. A longer focal length or a wider aperture (lower f-number) pushes hyperfocal distance farther away, since both reduce depth of field and require focusing farther out to still cover the same near-to-far sharp range.

Once you know the hyperfocal distance for your lens and aperture, you don't need to calculate anything further for maximum depth of field -- just focus there. For depth of field at a specific, closer subject distance instead of the maximum-DOF case, this site's dedicated depth of field calculator uses hyperfocal distance as a building block to compute exact near and far focus limits.

H=f2Nc+fH = \dfrac{f^2}{Nc} + f
f -- focal length in mm · N -- f-number · c -- circle of confusion in mm, the largest acceptable blur spot · H -- hyperfocal distance in mm.
  • Enter Focal length (mm) -- your lens's focal length.
  • Enter f-number (f/N) -- the aperture you plan to shoot at.
  • Enter Circle of confusion (mm) -- 0.03mm is the traditional full-frame default; use a smaller figure for smaller sensor formats.
  • Read Hyperfocal distance (mm) beneath the inputs, then focus your lens at that distance for maximum depth of field.

Worked example -- 50mm lens at f/8

Enter a 50mm focal length, f/8 aperture and the traditional 0.03mm full-frame circle of confusion. Hyperfocal distance comes out to 50^2 / (8 x 0.03) + 50 = 10,466.67mm, or about 10.47 metres -- focus the lens there and everything from roughly 5.23 metres out to infinity will appear acceptably sharp.

Questions

What does 'circle of confusion' mean in this formula?

Circle of confusion is the largest blur spot on the sensor or film that the human eye still perceives as a sharp point, when a final print or image is viewed at a normal size and distance. It's not a fixed physical constant -- it depends on sensor size, expected print size, and viewing distance -- which is why full-frame cameras traditionally use 0.03mm while smaller-sensor formats use a proportionally smaller figure.

Why does a smaller aperture bring the hyperfocal distance closer?

Stopping down the aperture increases depth of field at any given focus distance, so a nearer hyperfocal distance already achieves the 'sharp to infinity' result that a wider aperture would need a farther focus point to reach. In the formula, N sits in the denominator alongside circle of confusion, so a larger f-number directly shrinks hyperfocal distance -- why landscape photographers stopping down to f/11 or f/16 can focus much closer than f/2.8 and still keep the whole scene sharp.

What happens if I focus exactly at the hyperfocal distance?

Depth of field extends from half the hyperfocal distance all the way to infinity -- the widest possible sharp range achievable at that focal length and aperture. Focusing any closer than the hyperfocal distance pulls the far limit in from infinity to a finite distance; focusing farther away wastes potential near-side sharpness without gaining anything past infinity, since infinity is already as far as focus can extend.

How is this different from the depth of field calculator on this site?

This calculator finds hyperfocal distance alone -- the single focus point that maximizes depth of field for a lens and aperture. The depth of field calculator uses that same figure internally, then adds a specific subject distance to compute near and far focus limits for a closer, non-hyperfocal focus point -- use this one for the ideal 'focus here for maximum sharpness' point, and the other when your subject sits at a specific, closer range.

Do I need to know the exact hyperfocal distance while shooting?

Not to the millimetre -- many lenses have distance scales or depth-of-field markings that make it easy to focus roughly at the hyperfocal point, and small errors have limited practical impact since the sharp zone extends over such a wide range. Knowing the approximate figure, rounded to the nearest half-metre for example, is generally enough for real-world landscape and street photography use.

References