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Happy Monday!. You need to have out your note cards: colored #2, 27, 28, & 36 (area of a regular polygon) and white #29 (apothem) And page 30 - your homework from Friday. Some problems to get your mind working!. Piece (P’s) of Pumpkin pie. Blanket. Made in China.
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Happy Monday! You need to have out your note cards: colored #2, 27, 28, & 36 (area of a regular polygon) and white #29 (apothem) And page 30 - your homework from Friday.
Some problems to get your mind working! Piece (P’s) of Pumpkin pie Blanket Made in China What do these really say? On cloud nine Tennis shoe No one to blame update Down to earth Repeat after me
Quick review from Friday: 1. What is an apothem? A segment drawn from the center of a regular polygon that is perpendicular to a side and bisects the side. opossum
What is the formula for finding the area of a REGULAR • polygon? Area = ½ P a P = perimeter of REGULAR polygon a = apothem • Homework check (p. 30) - just check your own paper. • 5. 1038 6. 990 7. 400.4 • 8. 187.2 9. 13080 10. 974.1
What about this problem? Do you have enough information to find the area of this REGULAR hexagon? a² + 13.85² = 16² a² 64.2 a 8 apothem 16 13.85 A = ½ • 96 • 13.85 A 664.8 HINT: His theorem might help! 8 8
Find the area of this regular polygon. Do you have enough information? Area = ½ Pa 36° 10 10
Okay, so the perimeter is easy to find. It’s 100. He should try some trigonometry! Trigonometry – that might work! You tell him! I don’t know what the apothem is, how can I find the area?
Find the area of this regular polygon. tan 36 = 10 1 a Area = ½ Pa = ½ • 100 • 13.8 = 690 a = 13.8 36° a 10 10
area of a regular polygon = 1/2 • perimeter • apothem Your turn! Finish p. 30!