Tiara bought a cylindrical shaped cake with a base area of 64 square inches. The image below is a top view of the cake. The shaded portion represents the chocolate flavored icing and the white square portion represents the vanilla flavored icing.
Tiara cuts out a piece of cake with chocolate icing for herself and a piece of cake with vanilla icing for Meg, as shown below.
http://go.flvs.net/courses/1/flvs_57_3641_12676/ppg/respondus/pool_Geom_3641_Seg_Two_Practice_Exam_01/image0384e9da061.jpg

- anonymous

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- katieb

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- anonymous

Assuming the icing only appears on top of the cake, about how much more icing did Meg get than Tiara? Use 3.14 for π.
Answer
4.4 in2
6.8 in2
10.2 in2
12.2 in2

- PaxPolaris

|dw:1337883577580:dw|
Tiara gets the circle-segment ... Meg the triangle

- anonymous

yes, i get that part. im kinda looking for a formula or equation i can use and plug numbers into to figure the answer out..

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## More answers

- PaxPolaris

to find the area of the segment ... you do :
area of the SECTOR minus area of TRIANGLE

- PaxPolaris

first what's the area of the whole SECTOR being cut ?

- PaxPolaris

\[= {90\over360} \times (area\ of\ Circle) \]|dw:1337884191361:dw|

- PaxPolaris

for the area of triangle you may have to find radius (r)|dw:1337884518862:dw|

- anonymous

gotchaaaaa sorry for the late reply everybody just started getting home so i had to stop for a min. but thanks!! =)

- anonymous

@experimentX can u tell me what this guy means?

- experimentX

Oh,
|dw:1338915434107:dw|

- experimentX

|dw:1338915485685:dw|

- experimentX

Find the ares of one ... multiply it by 4

- experimentX

Also
|dw:1338915605808:dw|

- experimentX

Find the areas for Meg and Tiara

- anonymous

Oh gosh. I'm retarded. how would i find the areas .. what formula?

- experimentX

You found the radius right??
Area of triangle = 1/2 x base x height <-- here base and height is both equal to radius

- anonymous

the radius i found was 8 correct??

- experimentX

area of Tiara's portion
area of sector - area of triangle(Meg)
area of sector = 90/ 360 * pi x r^2 = 64/4 = 16

- experimentX

No ...

- experimentX

pi x R^2 = 64, R = sqrt(64/pi)

- anonymous

SO the radius i got by dividing g4 by pi and then square rooting it was 4.51

- anonymous

64*

- experimentX

yes ...

- anonymous

the area of the triangle is 10.17?

- anonymous

how do we find tiras ?? what formula ?..

- experimentX

area of Tiara's portion =
area of sector - area of triangle(Meg)
area of sector = 90/ 360 * pi x r^2 = 64/4 = 16

- anonymous

i have area of sector and of triangle. i just don't know about the tiara's portion because idk what formula to use.. the circumference of the circle? or of the arc?

- anonymous

It's obviously pink

- anonymous

Wat.

- anonymous

MATH IS GREAT

- anonymous

You are such a help.

- anonymous

It actually might be purple...royal purple...

- anonymous

TRUE TRUE

- anonymous

C'mon i really need this questionnn!

- anonymous

I'm being serious!

- anonymous

trolololol

- anonymous

Not trollin, I'm being serious, it's ROYAL PURPLE

- anonymous

And plus that guy died! Have some respect!

- anonymous

I LOVE ROLO

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