Field of view calculator

Choose a sensor, enter the focal length and a subject distance. You get the horizontal, vertical and diagonal angles and the size of the area your frame covers at that distance.

Units
mm
ft
Horizontal angle of view39.6 °
Vertical angle of view27 °
Diagonal angle of view
46.8 °
Frame width at that distance
10.8 ft
Frame height at that distance
7.2 ft

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How to use it

  1. Pick metric or US units and a sensor. For a different sensor choose Custom and enter its width and height in millimetres.
  2. Enter the focal length of your lens in millimetres and the distance to your subject.
  3. Read the three angles and the width and height of the scene covered at that distance.

How it works

For a sensor dimension d and focal length f, the angle of view is 2 × atan(d ÷ 2f). The width of the scene at distance s follows from similar triangles: s × d ÷ f. The diagonal dimension is √(width² + height²).

Worked example

A 50 mm lens on a 36 × 24 mm full-frame sensor: the horizontal angle is 2 × atan(18 ÷ 50) ≈ 39.6°, the vertical 27.0° and the diagonal 46.8°. At 5 m the frame covers 5 × 36 ÷ 50 = 3.6 m wide and 2.4 m tall.

Tips

  • A smaller sensor with the same lens sees a narrower angle, which is why a crop factor multiplies the effective focal length.
  • To fit a subject of known width in the frame, rearrange the formula: distance = width × f ÷ sensor width.

Frequently asked questions

How is the angle of view calculated?

Angle = 2 × atan(d ÷ 2f), where d is the sensor width, height or diagonal and f is the focal length. The three angles use the three sensor dimensions.

Are the sensor sizes exact?

They are typical dimensions. Real sensors vary slightly by model, so use the Custom option with your camera’s specification for a precise result.

Does the frame size depend on focusing distance?

The formula assumes the lens is focused at a long distance and has no distortion. Close focus on many lenses shortens the effective focal length a little, so the real frame is a bit different.

Why is the diagonal angle the one on lens boxes?

Manufacturers usually quote the diagonal angle, which is larger than the horizontal one. A 50 mm lens on full frame is about 47° diagonal but only about 40° horizontal.

More in Images

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