## sebastiangonzagonza one year ago hi can someone help me with geometry

1. anonymous

2. sebastiangonzagonza

It's a multi-part question

3. sebastiangonzagonza

A Ferris wheel is an amusement park ride comprised of a large wheel rotating on an axis. There are cars or compartments where people can sit or stand that are evenly spaced about the circumference of the circle. The wheel rotates slowly, taking passengers on a ride around the circumference of the circle. Please select one of the following famous Ferris wheels to research: Singapore Flyer London Eye Star of Nanchang You will need to find the diameter and number of compartments (or cars) for the one you chose in order to be able to complete the calculations section of the assignment. Once you have your information, move on to step 2.

4. sebastiangonzagonza

i selected the London Eye

5. anonymous

ok and?

6. sebastiangonzagonza

Complete the following tasks and calculations. You must show all work and steps to receive full credit. Name of the Ferris wheel Diameter of the wheel (in meters) Number of cars or compartments Circumference of the wheel (in meters) Area of the wheel (in meters) Measure of a central angle in degrees Measure of a central angle in radians Arc length between two cars or compartments Area of a sector between two cars or compartments

7. sebastiangonzagonza

i just need help walking through it

8. sebastiangonzagonza

so obviously #1 would be The London Eye lol

9. anonymous

you need the help from wikipedia

10. sebastiangonzagonza

okay

11. anonymous

they have the dimensions and all the details

12. sebastiangonzagonza

okay thank you

13. anonymous

yw

14. sebastiangonzagonza

@Hero Hi. can you please help me. Wikipedia doesnt have this information and i need a bit more help

15. anonymous

i can help you if you choose singapore flyer...the diameter is 150m

16. sebastiangonzagonza

okay

17. sebastiangonzagonza

but i do want to be walked through it

18. anonymous

ok

19. anonymous

theres 28 compartments

20. sebastiangonzagonza

i was about to say that lol

21. anonymous

i live in singapore btw. lol

22. sebastiangonzagonza

really??? thats so cool!! i live in florida

23. anonymous

cost SGD30 a ride there

24. sebastiangonzagonza

wow 20 us dollars

25. anonymous

now we got the first 3 problems out

26. sebastiangonzagonza

now i have to find the circumference of the wheel

27. anonymous

you know how to calculator that right?

28. anonymous

the rest of the questions are calculations

29. sebastiangonzagonza

not really

30. sebastiangonzagonza

should i do it?

31. anonymous

yea you should

32. sebastiangonzagonza

i mean how should i do it?

33. anonymous

circumference = diameter * pi

34. sebastiangonzagonza

okay hold on

35. sebastiangonzagonza

so is it 471??

36. anonymous

yes

37. sebastiangonzagonza

okay

38. anonymous

471.239

39. anonymous

try not to cut off too much of the decimals, it can affect your calculations later

40. anonymous

now we have Area of the wheel (in meters) Measure of a central angle in degrees Measure of a central angle in radians Arc length between two cars or compartments Area of a sector between two cars or compartments to do

41. sebastiangonzagonza

okay so how should i calculate the area?

42. anonymous

$A=\pi r^2$

43. sebastiangonzagonza

44. anonymous

yup

45. sebastiangonzagonza

so r is c/2

46. sebastiangonzagonza

547370.9643537529??

47. anonymous

no

48. anonymous

49. sebastiangonzagonza

OHH okay

50. sebastiangonzagonza

55460.25?

51. anonymous

|dw:1438968164365:dw|

52. anonymous

|dw:1438968220429:dw|

53. anonymous

no either

54. anonymous

55. sebastiangonzagonza

but the diameter is 150?

56. anonymous

57. anonymous

Area = pi times radius squared

58. sebastiangonzagonza

okay so since the radius is half of the diameter it would be 75

59. sebastiangonzagonza

then mulitplied by itself it would be 5625

60. sebastiangonzagonza

so then 5625*3.14 is 17662.5

61. anonymous

correct

62. anonymous

now for the central angle, it probably is asking the angle between 2 cars

63. sebastiangonzagonza

okay so how should i calculate it?

64. anonymous

360 divide by 28 which is the number of cars

65. sebastiangonzagonza

12.8571

66. anonymous

yes

67. anonymous

now we have to convert that to radian

68. anonymous

use this formula$\theta \times \frac{ \pi }{ 180 }$

69. sebastiangonzagonza

what should i put in the calculator

70. anonymous

the angle in degree multiply by pi

71. anonymous

then divide by 180

72. sebastiangonzagonza

0.22428

73. anonymous

i have 0.224399 but it doesnt matter much

74. sebastiangonzagonza

Okay

75. anonymous

the unit for this is rad

76. sebastiangonzagonza

so was that for number 6 or 7

77. anonymous

Measure of a central angle in radians

78. sebastiangonzagonza

oh what was the one in degrees?

79. anonymous

12.8571

80. sebastiangonzagonza

so now the arc length between two cars or compartments

81. anonymous

82. sebastiangonzagonza

okay

83. sebastiangonzagonza

0.04936778?

84. anonymous

how can it be that small

85. sebastiangonzagonza

im not sure

86. anonymous

0.224399*75

87. sebastiangonzagonza

16.829925

88. anonymous

ok thats correct

89. anonymous

now we have the last questions to deal with

90. anonymous

use this formula $A= \frac{ 1 }{ 2 } \times (\theta - \sin \theta) \times r^2$theta is your radian

91. sebastiangonzagonza

im not sure how to do this

92. anonymous

$\frac{ 1 }{ 2 } \times (0.224399-0.222520) \times 75^2$

93. anonymous

you need to change your calculator to radian mode to get sin theta

94. sebastiangonzagonza

5.2846875??

95. anonymous

yes

96. anonymous

oops wrong

97. anonymous

wrong formula loool

98. anonymous

$\frac{ 1 }{ 2 } \times 0.224399 \times 75^2$

99. sebastiangonzagonza

631.1221875?

100. anonymous

yes

101. sebastiangonzagonza

okay

102. anonymous

now we are done!

103. sebastiangonzagonza

thank you so much

104. anonymous

yw