11.4 Area of Regular Polygons

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Presentation transcript:

11.4 Area of Regular Polygons

Important Vocab Apothem – height of the triangle when a regular polygon is divided into isosceles triangles.

Given a regular pentagon, come up with a plan for finding the area. Hint: You can divide the Pentagon into 5 Congruent Isosceles Triangles

Divide the polygon into n triangles where n is the number of sides of the polygon. Find the area of one triangle by drawing “a”, the height of the triangle. Multiply that area by n.

Same formula, different slide. A is the area s is the length of each side a is the length of the apothem n is the number of sides aka

Pre-requisite Skills

Find the area of the pentagon given it is regular and each side length is 8.

Find the area of the regular polygon

Find the area of a regular hexagon with side lengths 6 cm

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