Is 0.03 a Correct Focal Length Calculation for a 13 Field of View?

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The calculation for focal length using the formula f = a / (2 x arctan(theta / 2)) yields a value of 0.03, which raises concerns about its validity. The equation's application is questioned, particularly regarding the use of arctan for an angle. Clarification on units is crucial, as 0.03 mm would be excessively small, while 0.03 m is reasonable. The discussion emphasizes the importance of ensuring correct units in calculations. Accurate unit interpretation is essential for determining the correctness of focal length calculations.
questions_uk
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Hi. If using:

f (focal length) = a / ( 2 x arctan (theta / 2)) where a = 13 and is the Field of View

the value I get for the focal length is 0.03 and this seems too small. Unless the calculation has not been done right?

Thanks.
 
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Something is weird about your equation. If theta is an angle, it makes no sense to take the arctan of an angle.

questions_uk said:
the value I get for the focal length is 0.03 and this seems too small.

That depends. 0.03 mm would be too small. 0.03 m would actually be reasonable. 0.03 miles could be too large.

Moral: units are an important part of the answer.
 
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