What it frames
The Pentax K-3 Mark III Monochrome with the Pentax smc DA* 200mm f/2.8 ED [IF] SDM, over a 30 cm bird on a 1 m fence post. 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.
200mm on the Pentax K-3 Mark III Monochrome frames 1.76 m × 1.17 m at 15 m: like 300mm on full frame, 6.7° across.
The numbers
- Frame at 15 m1.76 m × 1.17 m
- Full-frame equivalent300mm
- Angle of view6.7° × 4.5°, 8.1° diagonal
- Depth of field at f/2.814.7 m to 15.3 m (58 cm)
- Depth of field at f/814.2 m to 15.9 m (1.68 m)
- Hyperfocal at f/2.8760 m
- Hyperfocal at f/8266 m
- Circle of confusion0.019 mm
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.