Area of regular polygons

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Presentation transcript:

Area of regular polygons Section 10.3

Find the missing side using trigonometry.

A regular polygon means that the polygon is convex and all sides AND angles are congruent. Area of any regular polygon is: A = 1 2 ∗P ∗a A = Area P = Perimeter a = apothem

In an equilateral triangle, the apothem is NOT half of the altitude. You can use either A = ½ P a or A = ½ b h

Find the area of each regular polygon.

Find the area of a regular octagon with perimeter of 72 in.

Find the area of the regular pentagon with perimeter of 25 in.

Find the area of a regular octagon with perimeter of 96 in.

Find the area of the shaded region. Pentagon and triangle are regular.

Find the area of the shaded region. A regular hexagon located in a square.

The area of a regular octagon is 392 The area of a regular octagon is 392.4 m2 an has an apothem length of 10.9m long. Find the length of each side. Find the perimeter of the octagon.

Find the area of a square with apothem length of 5 cm.

Find the area of the shaded region.