## cbrusoe Group Title 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 2 years ago 2 years ago

1. cbrusoe Group Title

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 Group Title

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

3. cbrusoe Group Title

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 Group Title

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

5. PaxPolaris Group Title

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

6. PaxPolaris Group Title

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

7. PaxPolaris Group Title

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

8. cbrusoe Group Title

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

9. Blahh23 Group Title

@experimentX can u tell me what this guy means?

10. experimentX Group Title

Oh, |dw:1338915434107:dw|

11. experimentX Group Title

|dw:1338915485685:dw|

12. experimentX Group Title

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

13. experimentX Group Title

Also |dw:1338915605808:dw|

14. experimentX Group Title

Find the areas for Meg and Tiara

15. Blahh23 Group Title

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

16. experimentX Group Title

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 Group Title

the radius i found was 8 correct??

18. experimentX Group Title

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 Group Title

No ...

20. experimentX Group Title

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

21. Blahh23 Group Title

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

22. Blahh23 Group Title

64*

23. experimentX Group Title

yes ...

24. Blahh23 Group Title

the area of the triangle is 10.17?

25. Blahh23 Group Title

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

26. experimentX Group Title

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 Group Title

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 Group Title

It's obviously pink

29. Nimwhitted Group Title

Wat.

30. DannyRomero19 Group Title

MATH IS GREAT

31. Nimwhitted Group Title

You are such a help.

32. Pac1f1cIslander Group Title

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

33. DannyRomero19 Group Title

TRUE TRUE

34. Nimwhitted Group Title

C'mon i really need this questionnn!

35. Pac1f1cIslander Group Title

I'm being serious!

36. Nimwhitted Group Title

trolololol

37. Pac1f1cIslander Group Title

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

38. Pac1f1cIslander Group Title

And plus that guy died! Have some respect!

39. DannyRomero19 Group Title

I LOVE ROLO

40. that1chick Group Title