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FOV Calculator

Convert horizontal and vertical field of view for your aspect ratio.

Your calculation

°
Result

Converted field of view

58.715507°

Horizontal FOV
90 °
Vertical FOV
58.715507 °

Rectilinear perspective with square pixels. This is not a game-specific sensitivity or zoom converter.

Calculated in your browser. Your inputs are not sent to a server.

How to use this calculator

Choose the direction of the FOV you know. Enter its angle in degrees and your display width-to-height ratio, such as 16 and 9.

The math behind it

Vertical FOV = 2 × atan(tan(horizontal FOV ÷ 2) ÷ aspect)
Horizontal FOV = 2 × atan(tan(vertical FOV ÷ 2) × aspect)
Aspect = width ÷ height

A worked example

A horizontal FOV of 90° at 16:9 corresponds to a vertical FOV of about 58.715507°.

Assumptions & precision

Rectilinear perspective, centered view and square pixels. Angles must be greater than 0° and less than 180°. Games may define their sliders differently; this does not map engine-specific settings. Very extreme ratios that cannot be represented accurately are rejected. Display rounds to 6 decimals.

A common question

Why is horizontal FOV larger on a wide screen?

At the same viewing distance, a wider viewport spans a larger angle. FOV conversion uses tangent and arctangent, not a direct multiplication of angles.