Area of Regular Polygons and Circles

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Presentation transcript:

Area of Regular Polygons and Circles 10-5 Area of Regular Polygons and Circles Objectives: To find area of regular polygons. To find the area of circles.

Vocabulary Apothem

Apothem A segment drawn from the center of a regular polygon perpendicular to a side is called an apothem.

Area of a Regular Polygon If a regular polygon has an area of A square units, a perimeter of P units, and an apothem of a units, then s a

Example 1 Find the apothem, area, and perimeter of each regular polygon. Round to the nearest tenth.

Example 2 Find the apothem, area, and perimeter of each regular polygon. Round to the nearest tenth.

Example 3 Find the apothem, area, and perimeter of each regular polygon. Round to the nearest tenth.

Example 4 Find the area of the figure. Round to the tenths place if needed. Perimeter = 40

Area of a Circle If a circle has an area of A square units and a radius of r units, then r

In Class Examples

Homework 10-5 Worksheet