Image circle
Simulator
What the drawing shows
The image circle
Every lens projects a round image onto the sensor plane. Its diameter is the image circle. Outside it there is no picture at all; just inside it the picture is dim and soft. The figure a maker quotes is the diameter they will stand behind for sharpness and brightness, so many lenses show a usable picture a little beyond it.
Coverage
A lens covers a sensor when the sensor's diagonal is shorter than the image circle. The corners are the first thing to go: if the diagonal is longer than the circle, the corners of the frame are dark (vignetting), and the drawing shows them in grey outside the circle.
The margin
Half the difference between the circle and the diagonal is how far each corner sits inside the edge of the circle. Two or three millimetres is comfortable. Under a millimetre, the corners sit where illumination is already falling off, so expect darker and softer corners wide open, and a change when you focus close, because the image circle grows a little as a lens focuses nearer.
One circle per series
A lens series is designed for one format, so every focal length in it is built to the same circle, give or take a millimetre. That is why there is one chip per series. A Super 35 series covers about 31 mm; a full frame series 43 to 47 mm, which also takes in ALEXA LF and RED VV; medium format and 65 mm lenses cover 55 mm and more.
Anamorphic
An anamorphic lens squeezes the picture sideways before it reaches the sensor, by 1.33, 1.5, 1.8 or 2 times. The circle its maker quotes is still a plain diameter on the sensor, so coverage is judged the same way. The squeeze is shown with the series name; it changes the final frame's width, not the circle.
Photo lenses
Makers of photo lenses do not publish image circles. Their series are listed with the circle of the format they are sold for: 43.3 mm for full frame, about 28 mm for APS-C, about 21.6 mm for Micro Four Thirds, 55 mm for the 44 by 33 mm medium format backs. Most cover a little more than that, some a lot more, so a full frame photo lens on an ALEXA LF or a RED VV is worth a test rather than a refusal.
The same lens, a bigger sensor
Moving a lens to a bigger sensor does not change the lens; it changes how much of its circle you keep. A full frame 50 mm on a Super 35 sensor uses the centre of its circle and frames like a 75 mm would on full frame. The crop factor is the ratio of the two diagonals: the full frame diagonal of 43.3 mm divided by the sensor's.
Where the figures come from
Sensor sizes are the makers' active areas in the modes named under each button. Image circles are the makers' published figures where there is one; the rest are taken from the format, and the chip says "about". Measured circles vary by a millimetre or two between copies and between focal lengths in a series.