Area of PolygonsA series of free High School Geometry Video Lessons from Brightstorm.
Area of Kites and Rhombuses The area formula for a kite is found by rearranging the pieces formed by the diagonals into a rectangle. Since one side is half of a diagonal, the area of a rhombus formula is one half the product of the diagonals. An additional formula for the area of a rhombus is to use the kite formula (it works because rhombuses are technically kites). Related topics include area of parallelograms and solving formulas.
Center and Apothem of Regular Polygons An apothem is a perpendicular segment from the center of a regular polygon to one of the sides. When radii are drawn from the center to the vertices of the polygon, congruent isosceles triangles are formed with the polygon apothem as the height. These triangles are used in calculating the area of regular polygons. Related topics include properties of isosceles triangles and area of triangles.
Area of Regular Polygons 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.
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