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Answers to Homework

This homework assignment and worksheet focuses on the measurement and properties of regular polygons, including finding angles, perimeter, radius, apothem, and area. Turn in by Thursday for extra credit.

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Answers to Homework

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  1. 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

  2. 11-4 Areas of Regular Polygons Answers to Warm Ups Angle = (n-2)180÷n 90 120 60 144

  3. 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

  4. 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

  5. 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

  6. 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

  7. Area of Regular Polygon = • 4 sides • Square Radius Apothem Perimeter Area 5√2 5 40 100 45 5√2 5 45 5 10

  8. 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

  9. Area of Regular Polygon = • 6 sides • Hexagon Radius Apothem Perimeter Area 8 4√3 48 96√3 30 8 4√3 60 4 8

  10. 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

  11. 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

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