Use the fact that you can divide a polygon into triangles to help you find the area of any regular polygon.

Objective 1a

You will be able to find the area and perimeter of any regular n-gon

This video introduces the strategy that we will employ throughout the lesson to find the area of any regular n-gon. Before we set about finding this area, let's get a handle on some common vocabulary. Duration_10_34

Objective 1b

Here we put the previous pieces together to derive a formula for the area of a regular n-gon, then look at how specifically that will apply to a triangle, square, pentagon, and hexagon. Duration_13_20

Objective 1c

Example 4 will demonstrate exactly how we will apply the regular polygon area formula to a variety of shapes given a side and an apothem length. Duration_18_54

Objective 1d

The previous examples gave you too much information. For these problems, we will only be given length of the radius or apothem. Duration_14_13

Objective 1e

This last one is pretty much all about hexagons. Duration_14_13

Geometry 9(A) determine the lengths of sides and measures of angles in a right triangle by applying the trigonometric ratios sine, cosine, and tangent to solve problems

Geometry 9(B) apply the relationships in special right triangles 30º-60º-90º and 45º-45º-90º and the Pythagorean theorem, including Pythagorean triples, to solve problems

Geometry 11(A) apply the formula for the area of regular polygons to solve problems using appropriate units of measure

Geometry 11(B) determine the area of composite two-dimensional figures comprised of a combination of triangles, parallelograms, trapezoids, kites, regular polygons, or sectors of circles to solve problems using appropriate units of measure