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Angle of View Calculator

Formula

To calculate the angle of view:

$AOV = 2 \arctan \left( \frac{d}{2f} \right)$

What is Angle of View?

An angle of view, or AOV for short, is defined as the angular extent of a scene that can be captured by a camera. It is an important parameter in photography and videography, as it determines how much of the scene will be visible in the frame.

Example Calculation 1

Let's assume the following values:

Chosen Dimension $d$ = 36 mm
Effective Focal Length $f$ = 50 mm

Step 1: Divide the dimension by 2 times the focal length:

$\frac{d}{2f} = \frac{36}{2 \times 50} = 0.36$

Step 2: Take the inverse tangent of this result and multiply by 2:

$AOV = 2 \arctan(0.36) = 39.60 \text{ degrees}$

Example Calculation 2

Let's assume the following values:

Chosen Dimension $d$ = 24 mm
Effective Focal Length $f$ = 35 mm

Step 1: Divide the dimension by 2 times the focal length:

$\frac{d}{2f} = \frac{24}{2 \times 35} = 0.343$

Step 2: Take the inverse tangent of this result and multiply by 2:

$AOV = 2 \arctan(0.343) = 37.86 \text{ degrees}$