Area of Regular Polygons - Concept

Concept Concept (1)

If radii are drawn from the center of a regular polygon to the vertices, congruent isosceles triangles are formed. Using the apothem as the height and the polygon side as the base, the area of each triangle can be calculated and summed. Therefore, the area regular polygons is equal to the number of triangles formed by the radii times their height: (side length)(apothem length)(number of sides)/2.

Sample Sample Problems (4)

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Area of Regular Polygons - Problem 1
Problem 1
How to calculate the area of a regular polygon, given the length of the apothem and side length.
Area of Regular Polygons - Problem 2
Problem 2
How to find the length of an apothem in a regular polygon given the area and side length.
Area of Regular Polygons - Problem 3
Problem 3
How to calculate the perimeter of a regular polygon given the area and apothem length.
Area of Regular Polygons - Problem 4
Problem 4
How to find the area of a regular hexagon given only the length of the apothem.