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anonymous

  • one year ago

please help me

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  1. anonymous
    • one year ago
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  2. anonymous
    • one year ago
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    @perl is familier with it! :-)

  3. tkhunny
    • one year ago
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    Very bad question. FAR too subjective. Measure the radial width of the crust vs. the total radius.

  4. anonymous
    • one year ago
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    @perl knows this

  5. perl
    • one year ago
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    what is the radius of this pizza, or the diameter

  6. anonymous
    • one year ago
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    it is 16 inches diameter

  7. anonymous
    • one year ago
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    large

  8. anonymous
    • one year ago
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    medium is 12 inches diameter

  9. anonymous
    • one year ago
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    ya

  10. perl
    • one year ago
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    and we need to cut off the top

  11. anonymous
    • one year ago
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    yup

  12. perl
    • one year ago
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    we can make a crude approximation we have an isosceles triangle

  13. anonymous
    • one year ago
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    ok

  14. perl
    • one year ago
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    Area of crust cut off = total area of sector - area of isosceles triangle

  15. perl
    • one year ago
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    Area of sector = 1/6 * π r^2 , since we have 6 slices

  16. perl
    • one year ago
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    Area of isosceles triangle, this is going to be an equilateral triangle , since the vertex angle is 360/6 = 60 , and the base angles are congruent

  17. perl
    • one year ago
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    |dw:1432760771917:dw|

  18. perl
    • one year ago
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    you can pick any of the 6 triangles, i just chose that one

  19. anonymous
    • one year ago
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    ok

  20. perl
    • one year ago
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    |dw:1432760838050:dw|

  21. anonymous
    • one year ago
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    what is the radius?

  22. perl
    • one year ago
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    |dw:1432760851340:dw|

  23. perl
    • one year ago
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    radius = diameter / 2 = 8

  24. perl
    • one year ago
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    https://www.google.com/search?q=area+of+equilateral+triangle&ie=utf-8&oe=utf-8

  25. anonymous
    • one year ago
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    so the diameter is 16

  26. perl
    • one year ago
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    sorry, diameter is twice the radius

  27. perl
    • one year ago
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    radius is half the diameter

  28. anonymous
    • one year ago
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    the area of crust cut off is 26.48.

  29. anonymous
    • one year ago
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    AM i right

  30. perl
    • one year ago
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    nope

  31. anonymous
    • one year ago
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    Area of crust cut off = total area of sector - area of isosceles triangle A= 1/6*pi(8)^2 - 60

  32. perl
    • one year ago
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    whats the formula for the area of an equilateral triangle with side `a` https://www.google.com/search?q=area+of+equilateral+triangle&ie=utf-8&oe=utf-8

  33. anonymous
    • one year ago
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    27.71

  34. perl
    • one year ago
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    A= 1/6*pi(8)^2 - √(3)/ 4 (8)^2

  35. perl
    • one year ago
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    yes thats correct

  36. anonymous
    • one year ago
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    ok I got it

  37. anonymous
    • one year ago
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    the area of the segment cut off is 5.8

  38. anonymous
    • one year ago
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    Am i right?

  39. perl
    • one year ago
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    yes, but note that this an approximation, since a pizza crust can sometimes be thick We solved the 'ideal' problem

  40. anonymous
    • one year ago
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    ok thanks :-)

  41. perl
    • one year ago
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    this is what we found exactly http://prntscr.com/7a5bjm

  42. perl
    • one year ago
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    if we cut it that way

  43. perl
    • one year ago
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    so that cut approximates removing the crust

  44. anonymous
    • one year ago
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    To find the isosceles, why did u divide 360/6

  45. anonymous
    • one year ago
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    Since the triangle is 180

  46. perl
    • one year ago
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    |dw:1432761628546:dw|

  47. perl
    • one year ago
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    we have 6 angles, that add up to 360 degrees (in the center)

  48. anonymous
    • one year ago
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    ohh

  49. perl
    • one year ago
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    so thats how you get the vertex angle of a single triangle. then the base angles, you can use the fact that the triangle is isosceles (since the sides are the radius)

  50. anonymous
    • one year ago
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    if the sides have the radius then it is isosceles

  51. perl
    • one year ago
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    yes because all the radii are congruent

  52. anonymous
    • one year ago
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    why are we using the equilateral triangle formula, why can't we use isosceles

  53. anonymous
    • one year ago
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    ohh I got it. 60 is common

  54. perl
    • one year ago
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    |dw:1432761994892:dw|

  55. anonymous
    • one year ago
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    yup :-)

  56. perl
    • one year ago
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    this isosceles triangle is a special case, its also equilateral

  57. anonymous
    • one year ago
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    thanks i got

  58. anonymous
    • one year ago
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    you should actually get infinite medals for this help

  59. anonymous
    • one year ago
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    it is really understandable

  60. perl
    • one year ago
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    |dw:1432762135339:dw|

  61. anonymous
    • one year ago
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    ok

  62. perl
    • one year ago
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    |dw:1432762254726:dw|

  63. perl
    • one year ago
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    the base angles of an isosecles triangle are congruent. Therefore we have 60 + x + x = 180 60 + 2x = 180 2x = 120 x = 120/6 = 60 Now you know its an equilateral triangle , since all the angles are congruent

  64. perl
    • one year ago
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    |dw:1432762385401:dw|

  65. anonymous
    • one year ago
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    ok

  66. anonymous
    • one year ago
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    thanks

  67. anonymous
    • one year ago
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    I only need 5.8 answer. But, thanks for the work and made me understandable

  68. anonymous
    • one year ago
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    I am fully confident now

  69. perl
    • one year ago
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    :)

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