# 11.4 Areas of Polygons Worksheets 7-10 KEY

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JV NAME DATE Areas of Regular Polygons Find the area of each of the following polygons from their descriptions. 1 A regular hexagon with radius 12. 6 A regular triangle with side 4 g- 2. qq ogc rz a. 2 A square with radius 8. 7 An equilateral triangle with radius 7 15 -" ÿ__.7 Pi q 1 go An equilateral triangle with apothem 6 I 0 a" Ugÿ ÿÿ A square with radius 10 rÿ .200 2. I gT. Oÿ-ÿn A square with apothem 9 4 : 2 V3ÿz 9 A regular hexagon with perimeter 60 /ÿ : 15"O ÿ t4ÿz iq--_ :2 Sg.gÿ A regular hexagon with radius 15 d7 Iÿ r 33"75" c Z 7

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Geometry Worksheet Regular Polygons Name____Key_________________ Date________________ Period___ Find the area of each regular polygon. 1. Area ___43.5__ 2. Area __292.95_ 3. Area __261____ 4. Area ___110____ 5. Area _3391.5__ 6. Area __946.4___ 7. Area 48 3 83.1__ 7. Area 150 3 259.81  10 2.9 9.3 9  8.7 10  5.5 8 21 32.3 16.9  14  4 8  10 3 5

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O is the center of a regular n-sided polygon with consecutive vertices A and B. 9. If AOB has the given measure find the value of n. a m AOB 45 n __8_____ b m AOB 30 n ___12____ Find the apothem of each regular polygon. 10. Hexagon with radius 8. _4 3 _____ 11. Square with side 10. __5_____ Find the perimeter of each regular polygon. 12. Triangle with radius 3 4 . __36____ 13. Hexagon with radius 8. __48___ Find the radius of each regular polygon. 14. Square with area 64. __4 2 ___ 15. Triangle with apothem 3 12 . 24 3 Find the area of each regular polygon. 16. Square with radius 6. _72______ 17. Hexagon with side 12. 216 3 __ 18. Triangle with radius 6. 27 3 _____ 19. Square with apothem 4. _64____

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Find the area of each of the following figures. 20. Area 48+18 104.5_ 21. Area 240+8 265.1 In each of the following find the area of the shaded region. Leave answers in terms of pi. 22. Area 196-49 __ 23. Area 432-108 __ 24. Area _25 -24_ 25. Area _20 _______ 26. Area _52-4 _____ 27. Area _12.25 -24.5 28. Area _16 ______ 29. Area _64 -96 3 10 10 12 30 8    7    6 6 6  6 8 8 4 11 15 45  7  3 5  8

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