Question

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

Answer 1

The ratio of the slice's area to the circle's area is the same as the ratio of the angle to 360°

\[\frac{ 42 }{ 360 }=\frac{ x }{\pi r^2 }\]

Answer 2

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

Answer 3

How do I find the radius?

Answer 4

divide the diameter by 2

Answer 5

radius = half of the diameter

Answer 6

so id d=30 then the radius is 15?

Answer 7

yes

Answer 8

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

Answer 9

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

Answer 10

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

Answer 11

yes

Answer 12

360x = actually

Answer 13

wait what?

Answer 14

360x=29673

Answer 15

oh ok. so its 29673 divided by the 360

Answer 16

yes

Answer 17

so the answer would be 82.425 ?

Answer 18

right

Answer 19

THANK YOU SO MUCH!!!

Answer 20

you're welcome

Answer 21

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

Answer 22

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

Answer 23

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

Answer 24

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

Answer 25

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

Answer 26

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

Answer 27

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

Answer 28

Thank you!