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anonymous

  • one year ago

A giant pie is created in an attempt to break a world record for baking. The pie is shown below: A circle is shown with a central angle marked 42 degrees and the diameter marked 30 feet. What is the area of the slice of pie that was cut, rounded to the nearest hundredth? 78.13 ft2 82.43 ft2 86.31 ft2 91.98 ft2

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  1. anonymous
    • one year ago
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    The ratio of the slice's area to the circle's area is the same as the ratio of the angle to 360° \[\frac{ 42 }{ 360 }=\frac{ x }{\pi r^2 }\]

  2. welshfella
    • one year ago
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    do you need any more help? can you work out the value of the radius ( r )?

  3. anonymous
    • one year ago
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    How do I find the radius?

  4. anonymous
    • one year ago
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    divide the diameter by 2

  5. welshfella
    • one year ago
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    radius = half of the diameter

  6. anonymous
    • one year ago
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    so id d=30 then the radius is 15?

  7. anonymous
    • one year ago
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    yes

  8. anonymous
    • one year ago
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    ok so I would do x/pi*15^2 ?

  9. anonymous
    • one year ago
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    I'd get a number for π*15² then cross multiply to find x. x is the area you're looking for

  10. anonymous
    • one year ago
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    ok so 42/360=x/706.5 then multiply 42 and 706.5 29673 so its 360x/29673 ?

  11. anonymous
    • one year ago
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    yes

  12. anonymous
    • one year ago
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    360x = actually

  13. anonymous
    • one year ago
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    wait what?

  14. anonymous
    • one year ago
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    360x=29673

  15. anonymous
    • one year ago
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    oh ok. so its 29673 divided by the 360

  16. anonymous
    • one year ago
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    yes

  17. anonymous
    • one year ago
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    so the answer would be 82.425 ?

  18. anonymous
    • one year ago
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    right

  19. anonymous
    • one year ago
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    THANK YOU SO MUCH!!!

  20. anonymous
    • one year ago
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    you're welcome

  21. anonymous
    • one year ago
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    I'm new to the site how to I give you like an awards or something?

  22. anonymous
    • one year ago
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    just hit the "best answer button" on a response from whomever you want to give a medal to

  23. anonymous
    • one year ago
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    Ok. Can you help me on one just like this one? I think I got it but I want to be sure

  24. anonymous
    • one year ago
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    A Ferris wheel car moves from point C to point D on the circle shown below: Circle A is shown with a central angle marked 38 degrees and the diameter marked 20 feet. What is the arc length the car traveled, to the nearest hundredth? 2.18 feet 4.31 feet 5.84 feet 6.63 feet

  25. anonymous
    • one year ago
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    38/360=x/pi*10^2 38/360=x/314 360x=11932 x=33.144

  26. anonymous
    • one year ago
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    Wait, I don't think I read the question right.....

  27. anonymous
    • one year ago
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    you did it right, you just used the wrong formula. Area is πr². Circumference is 2πr. Arc length is part of the circumference. 38/360=x/(2πr) 38/360=x/(2π*10) 38/360=x/62.8 360x= 2386.4 x=6.62

  28. anonymous
    • one year ago
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    Thank you!

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