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What are the maximum numbers of faces a precision polygon can have?

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What are the maximum numbers of faces a precision polygon can have?

(a) 30

(b) 60

(c) 90

(d) 72

I have been asked this question in my homework.

My question is from Precision Polygons topic in section Angular Measurement and Circular Division of Engineering Metrology

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Best answer
Correct answer is (d) 72

The best I can explain: The minimum size of the reflecting face of the precision polygons should be approximately 13 mm x 13 mm. Thus a maximum number of faces of polygons can be seventy two, corresponding to an included angle of 5 degree.

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