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gabbyalicorn

  • one year ago

The diameter of the larger circle is 12.5 cm. The diameter of the smaller circle is 3.5 cm. What is the approximate area of the shaded region? A. 28.26 cm² B. 113.04 cm² C. 132.27 cm² D. 254.34 cm²

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  1. gabbyalicorn
    • one year ago
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  2. gabbyalicorn
    • one year ago
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    I tried to get the answer by doing \[12.5 \times 3.5 but \it turned out \to be 43.75 which was \not there. ;-; sadly\]

  3. gabbyalicorn
    • one year ago
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    woah that was weird

  4. gabbyalicorn
    • one year ago
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    @gaos

  5. gabbyalicorn
    • one year ago
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    @pinklion23

  6. gabbyalicorn
    • one year ago
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    @Whitemonsterbunny17

  7. gabbyalicorn
    • one year ago
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    @geerky42

  8. anonymous
    • one year ago
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    Area of the greater circle- area of the smaller circle πRadius^2-πradius^2

  9. gabbyalicorn
    • one year ago
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    6.28

  10. anonymous
    • one year ago
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    3.14x(12.5)^2 - 3.13x(3.5)^2

  11. geerky42
    • one year ago
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    You just need to find area of big circle and small circle using \(A = \pi r^2\) THEN you subtract big circle by small circle.

  12. geerky42
    • one year ago
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    First convert diameter into radius

  13. gabbyalicorn
    • one year ago
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    how do i do that?

  14. geerky42
    • one year ago
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    Let's just find area of bigger circle. diameter is 12.5 So what is radius?

  15. gabbyalicorn
    • one year ago
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    :/ radius is....a line segment that joins the center of a circle with any point on its circumference. (yes i looked it up)

  16. geerky42
    • one year ago
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    no no I mean what is length of radius in bigger circle?

  17. gabbyalicorn
    • one year ago
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    3.5

  18. geerky42
    • one year ago
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    Radius is 1/2 the diameter, right?

  19. geerky42
    • one year ago
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    So to find radius, you just divide diameter by 2

  20. gabbyalicorn
    • one year ago
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    yes

  21. geerky42
    • one year ago
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    So 12.5/2 = ?

  22. gabbyalicorn
    • one year ago
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    6.25

  23. geerky42
    • one year ago
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    Yeah, so now find area: \(A = \pi(6.25)^2\)

  24. gabbyalicorn
    • one year ago
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    39.25 i got kind confused on this part

  25. geerky42
    • one year ago
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    What are you confused with?

  26. gabbyalicorn
    • one year ago
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    just that whole part with the a= π(6.25.....etc thing

  27. geerky42
    • one year ago
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    \(\pi\) is pi. You can use 3.14 for that. \(etc~^2\) mean you multiply "etc" by itself For example \(4^2 = 4\times4\)

  28. geerky42
    • one year ago
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    Does that make sense?

  29. gabbyalicorn
    • one year ago
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    yes

  30. geerky42
    • one year ago
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    OK so \(A = \pi(6.25)^2\) First, multiply 6.25 by itself

  31. geerky42
    • one year ago
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    Then multiply it by 3.14

  32. gabbyalicorn
    • one year ago
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    i got 122.6525

  33. geerky42
    • one year ago
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    Good enough. This is area of bigger circle. Keep that in mind. Now do it again, but with smaller circle (with diameter 3.5). Can you find area of smaller circle?

  34. gabbyalicorn
    • one year ago
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    so replace 6.25 with 3.5

  35. geerky42
    • one year ago
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    yeah basically.

  36. gabbyalicorn
    • one year ago
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    kk

  37. gabbyalicorn
    • one year ago
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    i got 38.465

  38. geerky42
    • one year ago
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    oops forgot to convert diameter into radius

  39. geerky42
    • one year ago
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    3.5 is diameter, so what is radius?

  40. gabbyalicorn
    • one year ago
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    um 12.5 ?

  41. geerky42
    • one year ago
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    No. To get radius, you divide diameter by 2.

  42. geerky42
    • one year ago
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    So 3.5/2 = ?

  43. gabbyalicorn
    • one year ago
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    oh 6.25

  44. gabbyalicorn
    • one year ago
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    I dont see it as the answer ;-; i think I did something wrong

  45. geerky42
    • one year ago
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    3.5/2 = ?

  46. gabbyalicorn
    • one year ago
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    1.75

  47. gabbyalicorn
    • one year ago
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    oh wow the online calculator was way off

  48. geerky42
    • one year ago
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    Yeah. so radius is 1.75. Now find area of circle.

  49. geerky42
    • one year ago
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    with radius 1.75

  50. gabbyalicorn
    • one year ago
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    1.75 x ? = ( 12.5 ) ?

  51. geerky42
    • one year ago
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    No. \(A = \pi(1.75)^2\)

  52. gabbyalicorn
    • one year ago
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    oh

  53. gabbyalicorn
    • one year ago
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    9.61625

  54. gabbyalicorn
    • one year ago
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    @geerky42

  55. gabbyalicorn
    • one year ago
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    i guess is didn't do it right. but i double checked and it still was this answer. HELP ;-;

  56. gabbyalicorn
    • one year ago
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    still unsure about this can you help @10115658

  57. anonymous
    • one year ago
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    find the area of the larg circle and the small circle

  58. gabbyalicorn
    • one year ago
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    12.5 is the area i belive

  59. anonymous
    • one year ago
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    no, that is the diameter

  60. anonymous
    • one year ago
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    remember, the area of a circle is \[\pi r ^{2}\]

  61. anonymous
    • one year ago
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    radius is half the diameter

  62. gabbyalicorn
    • one year ago
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    6.25

  63. anonymous
    • one year ago
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    yep, now plug it into the formula

  64. gabbyalicorn
    • one year ago
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    3.14 x 6.25 ?

  65. gabbyalicorn
    • one year ago
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    19.625

  66. anonymous
    • one year ago
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    6.25^2

  67. gabbyalicorn
    • one year ago
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    39.0625 ?

  68. anonymous
    • one year ago
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    don't forget about the pi

  69. gabbyalicorn
    • one year ago
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    122.65625

  70. anonymous
    • one year ago
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    yep, now find the area of the smaller circle

  71. gabbyalicorn
    • one year ago
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    um

  72. gabbyalicorn
    • one year ago
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    okay, so the smaller circle is 3.5

  73. gabbyalicorn
    • one year ago
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    so 3.14 a^2 ?

  74. anonymous
    • one year ago
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    3.5 is the diameter, what is the radius?

  75. gabbyalicorn
    • one year ago
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    6.25

  76. anonymous
    • one year ago
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    no its half the diameter

  77. gabbyalicorn
    • one year ago
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    3.125

  78. anonymous
    • one year ago
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    no what is the diameter of the smaller circle?

  79. gabbyalicorn
    • one year ago
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    3.5?

  80. anonymous
    • one year ago
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    yes, and the radius is half of that

  81. gabbyalicorn
    • one year ago
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    1.75

  82. anonymous
    • one year ago
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    now use the formula

  83. gabbyalicorn
    • one year ago
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    9.61625

  84. anonymous
    • one year ago
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    correct

  85. anonymous
    • one year ago
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    now subtract the area of the small circle from the large circle

  86. gabbyalicorn
    • one year ago
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    113.03625

  87. anonymous
    • one year ago
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    good job

  88. gabbyalicorn
    • one year ago
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    so, b

  89. gabbyalicorn
    • one year ago
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    :D yay! thank you for helping me!

  90. anonymous
    • one year ago
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    np

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