7-5 Areas of Regular Polygons

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Presentation transcript:

7-5 Areas of Regular Polygons Thursday, May 9 7-5 Areas of Regular Polygons

Unit 9 Warm-Up 3 1. Find the area: 2. Find the area:

Homework Check Practice 7-4 48 2. 784 3. 11.4 4. 90 5. 2400 6. 374 7. 160 8. 176.25 9. 54 10. 42.5 11. 12. 13. 45 14. 226.2 15. 49500

HW 24 2. 168 3. 10 4. 90 5. 43 7. 90.5 8. 56

7-5 Area of Regular Polygons Regular Polygon : has all equal sides and all equal angles (equilateral and equiangular) Regular Hexagon:

Terms: Center of a regular polygon: is the center of the circumscribed circle. Radius: is the distance from the center to a vertex Apothem: the perpendicular distance from the center to a side of the polygon

What type of triangles are the 6 triangles? Isosceles Triangles!

What is the measure of each interior of a hexagon angle? 180(6-2) = 180(4) => 720 Total Interior Each interior = 720/6 = 120

What is the measure of each base angle in each isosceles triangle? 120 / 2 = 60 Use Special Right Triangles to find the length of the apothem

Area of a Regular Polygon: A = area s = side length a = apothem n = number of sides

Ex 1. Find the area:

Ex 2 Find the area: The diameter is 12

Ex 3 – Find the area of the reg. polygon if the side length is 12

Ex. 4 – Find the area of the reg. polygon

Ex 5. Find each missing angle

Class Work Complete and Turn in

Worksheet! Quiz on Friday (Tomorrow)!! Homework Worksheet! Quiz on Friday (Tomorrow)!!