10-3 Area of Regular Polygons. Radius of a regular polygon: the distance form the center to a vertex Apothem: the perpendicular distance from the center.

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Presentation transcript:

10-3 Area of Regular Polygons

Radius of a regular polygon: the distance form the center to a vertex Apothem: the perpendicular distance from the center to a side

Problem 1: Finding Angle Measures The figure is a regular pentagon with radii and an apothem drawn. What is the measure of each numbered angle?

The figure is part of a regular octagon with radii and an apothem drawn. What is the measure of each numbered angle?

Area of a Regular Polygon

Problem 2: Finding the Area of a Regular Polygon What is the area of the regular decagon?

What is the area of a regular pentagon with and 8 cm apothem and 11.6 cm sides?

Problem 3: Using Special Triangles to Find Area A honeycomb is made up of regular hexagonal cells. The length of a side of a cell is 3 mm. What is the area of a cell?

The side of a regular hexagon is 16 ft. What is the area of the hexagon