The Formula $D = \frac { n ( n - 3 ) } { 2 }$

question 175

Multiple Choice

The formula $D = \frac { n ( n - 3 ) } { 2 }$ yields the number of diagonals, D , in a polygon of n sides. Find the number of sides of a polygon that has 35 diagonals.

• A) 11 sides
• B) 12 sides
• C) 8 sides
• D) 10 sides
• E) 9 sides

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Definitions:

Straightness

The measure of how closely a line or feature aligns with a true straight line, often evaluated to ensure precision in manufactured parts.

Circularity

The degree to which a form or surface approaches a perfect circle, often a crucial factor in precision engineering.

Angularity

A condition of having a specified angle or orientation in relation to a datum or reference plane, used in precision manufacturing and machining.

Circularity

A geometric tolerance that limits the amount of variation from a perfect circle, often applied to cylindrical parts to ensure they rotate or fit smoothly.