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If you draw two regular polygons, for example pentagons, of two different sizes, the length of the sides will vary between the two pentagons, but the angle between the sides of the pentagons will be the same, therefore the sum of the angles will not change.

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Q: Does the lenght of a side of a regular polygon affect the sum of the interior angle measure?
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Does the length of a side of regular polygon affect the sum interior angle measures?

No. Imagine any regular polygon ; a triangle, a rectangle a dodecagon or whatever. If they are regular polygons then whatever shape you choose they are just scaled up or scaled down versions of one another. Whilst the length of the sides can differ the sum of the interior angles does not change. The formula for calculating the sum of the interior angles of a polygon is 2n - 4 right angles, where n is the number of sides. This is not affected by the length of the sides.


How does the Number of sides of a polygon affect the total of internal angles?

The addition of an extra side increases the total of the internal angles by 180° The sum of the internal angles of a polygon = (number of sides - 2) × 180°


How does the proportional change in the dimensions affect the area of a polygon?

Change in area = (change in sides)2


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