- 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

- chestercat

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- 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

do you need any more help?
can you work out the value of the radius ( r )?

- anonymous

How do I find the radius?

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## More answers

- anonymous

divide the diameter by 2

- welshfella

radius = half of the diameter

- anonymous

so id d=30 then the radius is 15?

- anonymous

yes

- anonymous

ok so I would do x/pi*15^2 ?

- anonymous

I'd get a number for π*15² then cross multiply to find x.
x is the area you're looking for

- anonymous

ok so 42/360=x/706.5 then multiply 42 and 706.5 29673 so its 360x/29673 ?

- anonymous

yes

- anonymous

360x = actually

- anonymous

wait what?

- anonymous

360x=29673

- anonymous

oh ok. so its 29673 divided by the 360

- anonymous

yes

- anonymous

so the answer would be 82.425 ?

- anonymous

right

- anonymous

THANK YOU SO MUCH!!!

- anonymous

you're welcome

- anonymous

I'm new to the site how to I give you like an awards or something?

- anonymous

just hit the "best answer button" on a response from whomever you want to give a medal to

- anonymous

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

- 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

38/360=x/pi*10^2
38/360=x/314
360x=11932
x=33.144

- anonymous

Wait, I don't think I read the question right.....

- 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

Thank you!

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