Photography & Imaging
Intermediate

Angle of View

Field of view from sensor size and focal length.

Formula

α=2arctan ⁣(d2f)\alpha = 2\arctan\!\left(\frac{d}{2f}\right)

Variables

αAngle of view
dSensor dimension (mm)
fFocal length (mm)

Example

d=36 mm, f=50 mm: α = 2 arctan(0.36) ≈ 39.6°

Did You Know?

A 50 mm lens on full-frame roughly matches the human eye's natural angle of view — hence 'nifty fifty'.

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