Question

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?

Answer 1

It uses this picture

Answer 2

wait for a minute...

Answer 3

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)

Answer 4

C.

Answer 5

Can you explain how?

Answer 6

in which grade you are in?

Answer 7

8th, but I'm taking Geometry.

Answer 8

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

Answer 9

Try me

Answer 10

what?

Answer 11

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

Answer 12

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

Answer 13

whoops, sorry

Answer 14

why you are sorry...

Answer 15

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

Answer 16

oh well

Answer 17

u in which country...

Answer 18

America?

Answer 19

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

Answer 20

i also used that...

Answer 21

ok

Answer 22

well i understand how AF = 4(sqrt 3)

Answer 23

what im not getting is how to solve for DF

Answer 24

really...

Answer 25

u understand how to get AF..

Answer 26

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

Answer 27

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

Answer 28

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

Answer 29

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

Answer 30

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) =

Answer 31

yeah ok good, we agree so far

Answer 32

so 12 - 4(sqrt 3) = 5.07179677

Answer 33

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

Answer 34

YA..

Answer 35

ARE U AT FACEBOOK...

Answer 36

no

Answer 37

okay

Answer 38

good, thank you for your time

Answer 39

WELCOME

Answer 40

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

Answer 41

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

Answer 42

oh sorry

Answer 43

why are you using a computer at 12:30?

Answer 44

oh well

Answer 45

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

Answer 46

YOUR WISH..

Answer 47

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

Answer 48

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

Answer 49

GIVE ME A MEDAL AND YOUR LEVEL WILL INCREASE..

Answer 50

can i give u multiple if i feel like it?

Answer 51

oh w8, other people have to

Answer 52

all right, thank you again for all your help

Answer 53

WELCOME

Answer 54

ASK MORE QUESTIONS IF YOU HAVE ...

Answer 55

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

Answer 56

OK