What it frames

The Pentax K-3 Mark III Monochrome with the Pentax smc DA* 16-50mm f/2.8 ED AL [IF] SDM, over a 1.75 m person in a street, with a door, a parked car and buildings. Everything is drawn to scale: the solid frame is what the camera takes in, the dashed ones are 24, 50 and 135mm on full frame from the same spot. Its APS-C sensor (23.5 x 15.6 mm) has a crop factor of 1.5, so the dashed frames are marked with the focal length that gives the same view on it.

16mm on the Pentax K-3 Mark III Monochrome frames 7.34 m × 4.88 m at 5 m: like 24mm on full frame, 73° across.

50mm eq. (33mm)135mm eq. (90mm)16mm · like 24mm on full frame7.34 m × 4.88 m at 5 m
The subject is 5 m away; things behind it are drawn smaller, as the camera sees them.
Inside the frame: the picture you would get.

The numbers

  • Frame at 5 m7.34 m × 4.88 m
  • Full-frame equivalent24mm
  • Angle of view73° × 52°, 83° diagonal
  • Depth of field at f/2.82.47 m to infinity (to infinity)
  • Depth of field at f/81.27 m to infinity (to infinity)
  • Hyperfocal at f/2.84.88 m
  • Hyperfocal at f/81.72 m
  • Circle of confusion0.019 mm
f/2.82.47 m to infinity (everything to infinity)f/81.27 m to infinity (everything to infinity)camerasubject, 5 m10 m
Depth of field: what is acceptably sharp, wide open and at f/8, focused on the subject.

How it is worked out

The frame at a distance is distance × sensor size ÷ focal length, across and up; the angle of view is 2 × atan(sensor size ÷ (2 × focal length)). Depth of field uses the thin-lens formulas: the hyperfocal distance H = f² ÷ (N × c) + f, the near limit s(H − f) ÷ (H + s − 2f) and the far limit s(H − f) ÷ (H − s), sharp to infinity from H on, with a circle of confusion c of the sensor diagonal ÷ 1500 and, on a zoom whose aperture changes, the maximum aperture taken linearly between its ends. These are for a rectilinear lens; a fisheye takes in more. Ask for this page with Accept: application/json for the numbers alone.