cbrusoe 3 years ago 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

1. cbrusoe

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

2. PaxPolaris

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

3. cbrusoe

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..

4. PaxPolaris

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

5. PaxPolaris

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

6. PaxPolaris

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

7. PaxPolaris

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

8. cbrusoe

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

9. Blahh23

@experimentX can u tell me what this guy means?

10. experimentX

Oh, |dw:1338915434107:dw|

11. experimentX

|dw:1338915485685:dw|

12. experimentX

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

13. experimentX

Also |dw:1338915605808:dw|

14. experimentX

Find the areas for Meg and Tiara

15. Blahh23

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

16. experimentX

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

17. Blahh23

the radius i found was 8 correct??

18. 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

19. experimentX

No ...

20. experimentX

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

21. Blahh23

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

22. Blahh23

64*

23. experimentX

yes ...

24. Blahh23

the area of the triangle is 10.17?

25. Blahh23

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

26. 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

27. Blahh23

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?

28. Pac1f1cIslander

It's obviously pink

29. Nimwhitted

Wat.

30. DannyRomero19

MATH IS GREAT

31. Nimwhitted

You are such a help.

32. Pac1f1cIslander

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

33. DannyRomero19

TRUE TRUE

34. Nimwhitted

C'mon i really need this questionnn!

35. Pac1f1cIslander

I'm being serious!

36. Nimwhitted

trolololol

37. Pac1f1cIslander

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

38. Pac1f1cIslander

And plus that guy died! Have some respect!

39. DannyRomero19

I LOVE ROLO

40. that1chick