Calculate the internal bond angles for a 9-sided regular polygon

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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Calculate the internal bond angles for a 9-sided regular polygon

The expression shown is:

\[ 180^\circ - \frac{360^\circ}{N} \]

This formula is typically used in geometric contexts, such as calculating the internal angle of a regular polygon. Here, \( N \) represents the number of sides in the polygon. By using this formula, one can determine each interior angle by subtracting the exterior angle (derived from \(\frac{360^\circ}{N}\)) from \(180^\circ\). 

If this were to be implemented on an educational website, it would likely serve as part of a lesson on polygon properties, emphasizing how to determine interior angles.
Transcribed Image Text:The expression shown is: \[ 180^\circ - \frac{360^\circ}{N} \] This formula is typically used in geometric contexts, such as calculating the internal angle of a regular polygon. Here, \( N \) represents the number of sides in the polygon. By using this formula, one can determine each interior angle by subtracting the exterior angle (derived from \(\frac{360^\circ}{N}\)) from \(180^\circ\). If this were to be implemented on an educational website, it would likely serve as part of a lesson on polygon properties, emphasizing how to determine interior angles.
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The number of sides (N) of a regular polygon is 9.

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