## anonymous 4 years ago CD is tangent to the circle and segment AE is perpendicular to segment AC. If a radius of the circle measures 12 in., which is the value of DF + AF?

1. anonymous

It uses this picture

2. vishal_kothari

wait for a minute...

3. anonymous

It's multiple choice; these are the answers given: A. 28 + 5(sqrt 3) B. 28 - 4(sqrt 3) C. 24 - 4(sqrt 3) D. 21 + 2(sqrt 3)

4. vishal_kothari

C.

5. anonymous

Can you explain how?

6. vishal_kothari

in which grade you are in?

7. anonymous

8th, but I'm taking Geometry.

8. vishal_kothari

the concept i used is taught in 11th grade...

9. anonymous

Try me

10. vishal_kothari

what?

11. anonymous

As in, let's see if I can understand it.

12. vishal_kothari

in AFE, tan60=AE/AF $\sqrt{3}$=12/AF AF=4$\sqrt{3}$

13. anonymous

whoops, sorry

14. vishal_kothari

why you are sorry...

15. anonymous

because I accidentally typed a phrase that was incongruous in our conversation?

16. anonymous

oh well

17. vishal_kothari

u in which country...

18. anonymous

America?

19. anonymous

This question was posed to me in my geometry class - are u sure there's no easier way to solve it? I was thinking something to do with 30-60-90 triangles

20. vishal_kothari

i also used that...

21. anonymous

ok

22. anonymous

well i understand how AF = 4(sqrt 3)

23. anonymous

what im not getting is how to solve for DF

24. vishal_kothari

really...

25. vishal_kothari

u understand how to get AF..

26. anonymous

well, i didn't understand how u explained it, but i did arrive at the same answer - 4(sqrt 3)

27. anonymous

so let's see - if we use 30-60-90 triangles as our basis, then DF = 2CF, correct?

28. vishal_kothari

if i will give you the value of CF.. THAN COULD U FIND DF...

29. vishal_kothari

CF=AC-AF=12-4$\sqrt{3}$

30. anonymous

I think I could, but what I'm getting is not 24, like you say it is. That's why I'm going to show you how I would solve it, and I ask that you please correct me if I am wrong. AC = 12, because it is a radius. We have determined that AF = 4(sqrt 3). 12 - 4(sqrt 3) =

31. anonymous

yeah ok good, we agree so far

32. anonymous

so 12 - 4(sqrt 3) = 5.07179677

33. anonymous

Using 30-60-90 Triangles, DF is 2x this, or 10.1435935

34. vishal_kothari

YA..

35. vishal_kothari

ARE U AT FACEBOOK...

36. anonymous

no

37. anonymous

okay

38. anonymous

good, thank you for your time

39. vishal_kothari

WELCOME

40. anonymous

so i am new to this website - how do i thank you in return?

41. vishal_kothari

IT'S 12:25 A.M. HERE..

42. anonymous

oh sorry

43. anonymous

why are you using a computer at 12:30?

44. anonymous

oh well

45. anonymous

so do i thank you by clicking good answer on all of your responses?

46. vishal_kothari

47. anonymous

i told you im new - im not sure what to do now

48. vishal_kothari

WELL IT WAS MY BROTHER'S BIRTHDAY .....SO 12:30..

49. vishal_kothari

GIVE ME A MEDAL AND YOUR LEVEL WILL INCREASE..

50. anonymous

can i give u multiple if i feel like it?

51. anonymous

oh w8, other people have to

52. anonymous

all right, thank you again for all your help

53. vishal_kothari

WELCOME

54. vishal_kothari

ASK MORE QUESTIONS IF YOU HAVE ...

55. anonymous

I'm fine for now, but I definitely will when I have another one.

56. vishal_kothari

OK