The perimeter of a polygon is the total distance around its exterior. For a regular polygon (where all sides are equal), it is calculated by multiplying the length of one side by the number of sides.
Formula for Polygon Perimeter
The formula to calculate the perimeter of a regular polygon is:
\[P = ns\]
Where:
\(P\) is the perimeter of the polygon
\(n\) is the number of sides
\(s\) is the length of one side
Calculation Steps
Determine the number of sides in the polygon.
Measure or identify the length of one side.
Multiply the number of sides by the side length.
The result is the perimeter of the polygon.
Example
Let's calculate the perimeter of a regular hexagon (6-sided polygon) with a side length of 4 units:
Given:
Number of sides (\(n\)) = 6
Side length (\(s\)) = 4 units
Apply the formula: \(P = ns\)
Substitute the values: \(P = 6 \times 4\)
Calculate: \(P = 24\) units
Visual representation:
Therefore, the perimeter of the hexagon is 24 units.
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