anonymous
  • anonymous
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
The ratio of the slice's area to the circle's area is the same as the ratio of the angle to 360° \[\frac{ 42 }{ 360 }=\frac{ x }{\pi r^2 }\]
welshfella
  • welshfella
do you need any more help? can you work out the value of the radius ( r )?
anonymous
  • anonymous
How do I find the radius?

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anonymous
  • anonymous
divide the diameter by 2
welshfella
  • welshfella
radius = half of the diameter
anonymous
  • anonymous
so id d=30 then the radius is 15?
anonymous
  • anonymous
yes
anonymous
  • anonymous
ok so I would do x/pi*15^2 ?
anonymous
  • anonymous
I'd get a number for π*15² then cross multiply to find x. x is the area you're looking for
anonymous
  • anonymous
ok so 42/360=x/706.5 then multiply 42 and 706.5 29673 so its 360x/29673 ?
anonymous
  • anonymous
yes
anonymous
  • anonymous
360x = actually
anonymous
  • anonymous
wait what?
anonymous
  • anonymous
360x=29673
anonymous
  • anonymous
oh ok. so its 29673 divided by the 360
anonymous
  • anonymous
yes
anonymous
  • anonymous
so the answer would be 82.425 ?
anonymous
  • anonymous
right
anonymous
  • anonymous
THANK YOU SO MUCH!!!
anonymous
  • anonymous
you're welcome
anonymous
  • anonymous
I'm new to the site how to I give you like an awards or something?
anonymous
  • anonymous
just hit the "best answer button" on a response from whomever you want to give a medal to
anonymous
  • anonymous
Ok. Can you help me on one just like this one? I think I got it but I want to be sure
anonymous
  • anonymous
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
anonymous
  • anonymous
38/360=x/pi*10^2 38/360=x/314 360x=11932 x=33.144
anonymous
  • anonymous
Wait, I don't think I read the question right.....
anonymous
  • anonymous
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
anonymous
  • anonymous
Thank you!

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