2. Essential Understanding
The area of a regular polygon is related to the
distance from the center to a side
Students will be able to find the area of regular
polygons
3. Regular Polygon
A polygon with all sides and angles that are equal
What are some examples of this?
You can circumscribe a circle about any regular polygon. The
center of the regular polygon is the center of the circumscribed
circle
The radius of the regular polygon is the distance from the
center to a vertex.
The Apothem is the perpendicular distance from the center to
a side.
5. Finding Angle Measures
A portion of a regular octagon has radii and an
apothem drawn. What is the measure of each
numbered angle?
6. Finding Angle Measures
A portion of a regularhexagon has radii and an
apothem drawn. What is the measure of each
numbered angle?
7. Area of a Regular Polygon
If two figures are congruent, then their areas are equal.
Since each regular polygon can be divided into equal
triangles, you can use the areas of those triangles to
derive the area of the regular polygon
The area is half the product of the apothem and the
perimeter
A= ½a p
8. Finding Area
What is the area of a regular pentagon with an 8 cm
apothem and 11.6 cm sides?
The side of a regular hexagon is 16 ft. What is the
area of the hexagon?
