Geometry

Question Analysis

The main focus of this question is to calculate the perimeter of a regular polygon, testing the understanding of the property that all sides of a regular polygon are equal and the application of the perimeter formula.

 

Key Concept Explanation

Regular Polygons: In a regular polygon, all sides have equal lengths. The perimeter  of a polygon is the sum of the lengths of all its sides. For a regular polygon, the formula for the perimeter is , where  is the number of sides and  is the length of each side.

 

Step - by - Step Solution

1. Identify the number of sides and side length:

The given polygon is a non - agon (a 9 - sided polygon), so .

The length of each side .

2. Calculate the perimeter:

Substitute  and  into the formula .

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