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Answers to Homework. 2) A = 30.5 M = 5 4) h = 10 M = 30 6) b = 5 M = 4 8) b = 15k M = 9k 10) 64 12) 21√3 14) 189/2 16) 180 18) 65 20) 71 22) A = 120 D = 17. 11-4 Areas of Regular Polygons. Answers to Warm Ups Angle = (n-2)180÷n 90 120 60 144. Vocabulary.
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Answers to Homework 2) A = 30.5 M = 5 4) h = 10 M = 30 6) b = 5 M = 4 8) b = 15k M = 9k 10) 64 12) 21√3 14) 189/2 16) 180 18) 65 20) 71 22) A = 120 D = 17
11-4 Areas of Regular Polygons Answers to Warm Ups Angle = (n-2)180÷n 90 120 60 144
Vocabulary • Regular Polygon: All sides and angles are equal • Perimeter: Distance around the outside of a polygon • Measurement of Interior Angle: • Find the measure of each interior angle of a pentagon
Vocabulary for Regular Polygon • Center: Center of circumscribed circle. • Radius: From center to a vertex • Central Angle: Angle formed by 2 radii • Apothem: Perpendicular distance from center to a side 108° 72° s 36° 54° ½s
Area of Regular Polygon = • 3 sides • Equilateral Triangle Radius Apothem Perimeter Area 8 4 24√3 48√3 60 8 4 30 4√3 8√3
TOO • If the perimeter of a equilateral triangle is 6√3, find the radius, apothem, and area. A=3√3 60 r=2 a=1 30 √3 2√3
Area of Regular Polygon = • 4 sides • Square Radius Apothem Perimeter Area 5√2 5 40 100 45 5√2 5 45 5 10
TOO • If the apothem of a square is √3, find the radius, perimeter and area. p=8√3 45 r=√6 A=12 √3 45 √3 2√3
Area of Regular Polygon = • 6 sides • Hexagon Radius Apothem Perimeter Area 8 4√3 48 96√3 30 8 4√3 60 4 8
TOO • If the perimeter of a regular hexagon is 24√3, find the radius, apothem and area. 30 r=4√3 A=72√3 a=6 60 2√3 4√3
Homework • Page 443 #1-16 • Extra Credit • Worksheet • Each side is worth 1 homework assignment (8 points total) • Must be turned in by Thursday • I will not be going over the worksheet during class