How can you find the diameter of a tube without direct measurement?

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SUMMARY

To find the diameter of a tube without direct measurement, you can utilize the formula for cross-sectional area, A = π(D/2)², allowing you to solve for diameter D if the area is known. Alternatively, if the circumference C is known, the relationship C = πD can be applied. A practical method involves inserting a stick of known length into the tube, rotating it to create two chords, and measuring the angle between them to derive the diameter using trigonometric principles.

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  • Understanding of basic geometry and formulas related to circles
  • Familiarity with trigonometric principles
  • Knowledge of the relationship between area and diameter in circular shapes
  • Ability to perform measurements and calculations accurately
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  • Research the derivation of the area formula for circles
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  • Explore methods for indirect measurement techniques
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Engineers, physicists, and anyone involved in design or analysis of cylindrical objects who needs to determine dimensions without direct measurement.

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How can you find the diameter of a tube without measuring it? Is there a equation or something or any method other than measuring it
 
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If you know the cross sectional area, A of the tube, you can use

A = \pi \left(\frac{D}{2}\right)^2 and solve for D.

Other than that, no.

Edit: if you know the circumference of the circle, C: C = \pi D.
 
Last edited:
Kind of, although strictly speaking, it is 'measuring'.

Just put a stick of known length inside the tube, and turn it through an angle (so it goes from one chord to another chord, with one point remaining the same). Measure the angle between the two chords, and then get trigg-ing!
 

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