1. 10.3 and 10.5 Areas of Regular Polygons & Trigonometry and Area

2. Regular Polygons radius – the distance from the center to a vertex We can center any regular polygon inside of a circle: Regular polygons: -all sides congruent-all angles congruent-convex apothem – perpendicular distance from the center to a side

3. Finding Angle Measures Regular pentagon:

4. Finding Angle Measures Part of a regular octagon:

5. THEOREM 10.6 – Area of a Regular Polygon The area of a regular polygon is half the product of the apothem and the perimeter Areas of Regular Polygons

6. Regular decagon: Find the area of a regular pentagon with 11.6-cm sides and an 8- cm apothem.

7. Areas of Regular Polygons Find the area of the following regular polygon. Leave your answer in simplest radical form. 10mm

8. Areas of Regular Polygons 9 in Find the area of the following regular polygon. Leave your answer in simplest radical form.

9. Areas of Regular Polygons Regular pentagon:

10. Regular octagon: (Find perimeter and area) Areas of Regular Polygons

11. Find the area of a regular 3-sided polygon with perimeter of 54 cm. Areas of Regular Polygons Find the area of a regular 7-gon with radius of 8 m.

12. 10.3 and 10.5 HW: p. 548 #1-9 odd, 10-12, 14-18 even p. 561 #1-4, 21-26