Field-of-View Calculator

Sensor size from pixels: W = Nx · p, H = Ny · p, diagonal √(W² + H²). For each axis, use the half-size r (W/2, H/2 or diagonal/2) and solve the lens projection for the half-angle θ; the full field of view is 2θ.

Rectilinear θ = atan(r / f). Equidistant θ = r / f. Equisolid θ = 2·asin(r / 2f). Stereographic θ = 2·atan(r / 2f). Orthographic θ = asin(r / f). The reverse mode solves the same equations for f.

Scene coverage on a flat target at distance D: 2·D·tan θ along each axis, which only exists for fields under 180°. The 35 mm equivalent focal length scales by the diagonal ratio 43.27 mm / sensor diagonal. Real lenses deviate from their ideal projection by their distortion, so treat results as the nominal design value.