 Turn in any late work that you would like graded before progress reports.  Take a protractor from the front.  Find the areas of the figures below.

 Derive the formula for the area of a regular polygon.  Apply area formulas to solve problems.  Use problem solving skills.

 All sides are congruent  All angles are congruent

 Apothem—the line segment from the center of a regular polygon to the midpoint of a side  Side—a line segment on the polygon  Radius—the line segment from the center of a regular polygon to a vertex

You can divide regular polygons into congruent isosceles triangles by drawing segments from the center of the polygon to each vertex. The center of the polygon is actually the center of the circumscribed circle, so these congruent segments are sometimes called the radii of a regular polygon.

Investigation Area Formula for Regular Polygons

 Derive the formula for the area of a regular polygon.  Apply area formulas to solve problems.  Use problem solving skills.

Show your work and explain your reasoning. 2.

Show your work and explain your reasoning