1. Perform the following metric conversion. 0.56cm = dm 2. Perform the following metric conversion. 11. Identify correctly the sum of the interior angels of a regular hexagon. 12. Identify the correct value of x from the regular polygon given below. 0.0503m = mm 3. Calculate the following sum and state your answer in m. 602cm + 477dm = x 4. Perform the following metric conversion. 0.09m = cm 5. Perform the following metric conversion. 13. Identify correctly the name of the regular polygon given below. 0.247km = dam 6. Perform the following metric conversion. 299100mm 2 = m 2 7. Calculate the following sum and state your answer in dm 2. 34300mm 2 + 707cm 2 = 8. Perform the following metric conversion. 14. Calculate the perimeter of the regular polygon. 0.00073hm 2 = m 2 9. Perform the following metric conversion. 97dm 2 = m 2 10. Calculate the following product and state your answer in m 2. 0.67dam x 180dm = 4cm > Workout 213
15. Identify the number of diagonals that can be drawn from vertex in the regular hexagon below. 21. n equilateral triangle has a side length of 10cm. Calculate the triangle s perimeter. 22. Calculate the perimeter of the regular hexagon given below. 16. Determine the angle measurements of the 10 congruent triangles that fit into the regular decagon. 3cm 23. Calculate the side length of the regular hexagon given below. rea = 1676.4 cm 2 22cm 17. Identify the number of isosceles triangles that fit into a regular octagon such that the vertices of the isosceles triangle are the center of the regular polygon and any two adjacent vertices of the regular polygon 18. regular hexagon has a side length of 40cm. Calculate the hexagon s perimeter. 19. regular pentagon has a side length of 7cm. Calculate the pentagon s perimeter. 20. square has a side length of 9cm. Calculate the square s perimeter. 24. Calculate the area of the regular pentagon given below. 6.88 cm 10 cm 214 Chapter 7: Circles and Regular Polygons
25. Calculate the apothem of the regular hexagon given below. rea = 30.2 cm 2 2.5 cm 26. regular hexagon has a perimeter of 30m and an apothem of 4.33m. Calculate the hexagon s area. 27. regular hexagon has a side length of 16cm and an apothem of 13.86cm. Calculate the hexagon s area. 30. Davey has a square back yard with side lengths of 13 m. He decides that he wants to make a putting green in his back yard in the shape of a regular hexagon with side lengths of 7 m. The shortest distance from the center of his putting green to any of its edges is 5 m. Calculate the area of his back yard that is not taken up by the putting green. 31. Find the area of the regular polygon whose apothem is 11cm, one of the sides measures 15cm, and one of the interior angles is 108. 32. Given the circle below, determine the measure of M L 28. Find x in the regular pentagon whose area is 150cm 2. K 39 M x= 10 cm 29. The wading pool at the Contemporary Resort at Disney World in Florida is in the shape of a regular pentagon and has an area of 100 m 2. The shortest distance from the center of the pool to any of its sides is 13 m. The maintenance staff at the resort have to replace the safety strip around the outer edge of the pool. How much will the new piece of safety strip cost if it sells for $0.90 per meter 33. If the radius of the following circle is 4cm, what is the length of circle s diameter 4 cm R Workout 215
34. Given the circle below, determine the measure of P. P 37. Find the perimeter of the following diagram which forms a quarter of a circle. radius = 20 cm 25 D 35. Given the circle below, determine mc. C 38. Find the circumference of the following circle. 180 W diameter = 6cm 36. Find the diameter of the circle below, given that the circumference is 20cm. 39. Calculate the msc for the given circle. S circumference = 20cm 5cm T 68 C 216 Chapter 7: Circles and Regular Polygons
40. Calculate mp, given that the circumference of the circle is 70cm. 48 P 43. Given that mhgf = 26 cm, calculate mhf in the circle below. H 36 F 41. Given that mfg = 18cm in the circle, find the circumference of the given circle. F G 44. Calculate the area of the circle given below. 18cm 100 6 cm G 42. Calculate muy, given that the circumference of the circle is 75cm. 45. Calculate the area of the shaded region in the diagram below. Y 11 cm 3 cm 5 cm U Workout 217
46. Calculate the area of the shaded region in the diagram below. 49. Given the circle and the information below, calculate the radius of the circle. 11 cm 6 cm 100 = 8.7 cm 2 47. Calculate the area of the shaded region in the diagram below. 50. Given the circle and the information below, calculate m. 7 cm 1 cm 100 = 18 cm 2 Circle = 54 cm 2 48. Calculate the area of the following circular sector. 51. Calculate the area of the following circular sector. 59 99 55.5 m 130 m 218 Chapter 7: Circles and Regular Polygons
52. Given the information in the circle below, calculate the area of sector. 55. Given that the area of the circular sector below is 80cm 2, what is its perimeter 9 cm 45 122 56. Calculate the area of the shaded region in the diagram given below. 53. Given that the area of the semi-circular shape below is 121cm 2, what is its perimeter 7cm 54. Calculate the area of the shaded region in the diagram given below. 1.69 cm Workout 219