Question

In circle O, CD = 44, OM = 20, ON = 19,CD l OM, EF l ON (The figure is not drawn to scale.)

Answer 1

a.Find the radius. If your answer is not an integer, express it in radical form.
b.Find FN. If your answer is not an integer, express it in radical form.
c.Find EF. Express it as a decimal rounded to the nearest tenth.

Answer 2

@jim_thompson5910

Answer 3

i hate geometry..lol

Answer 4

solve for x to find the radius

a^2 + b^2 = c^2

20^2 + 22^2 = x^2

Answer 5

is this the answer

Answer 6

tell me what you get for x

Answer 7

42?

Answer 8

oops 22

Answer 9

20^2 + 22^2 = x^2

400 + 484 = x^2

x^2 = 884

x = ???

Answer 10

52

Answer 11

i don't know

Answer 12

x^2 = 884

x = sqrt(884)

x = 2*sqrt(221)

Answer 13

so thats your radius

Answer 14

now you can use this radius to find EF and FN

Answer 15

202 + 222

Answer 16

solve for y

y^2 + 19^2 = (2*sqrt(221))^2

y^2 + 381 = 884

keep going

Answer 17

What do you do after you solve for y? @jim_thompson5910

Answer 18

I let y = EN

so to find EF, you need to find 2y

this is because

EF = 2*EN

EF = 2y

Answer 19

also, FN = EN, so once you get EN, you have found FN

Answer 20

y^2 + 361=884??
y^2=523
right?

Answer 21

oh somehow I had 381...hmm lol

yeah it's 361

Answer 22

y^2=523

y=sqrt(523)

Answer 23

How did you get 884 up there?

Answer 24

(2*sqrt(221))^2 = 4*221 = 884

Answer 25

alright so y=29.73?

Answer 26

leave it in radical form

Answer 27

unless it asks about the approximation and rounding it

Answer 28

to leave it in radical form do I just leave it as y=sqrt(523)?

Answer 29

yes square roots are considered radicals

Answer 30

Solving for y solves for both FN and EF..?

Answer 31

FN yes since FN = EN

Answer 32

but you have to double it to find EF

Answer 33

So the one we just solved (y) is FN right? and I add FN and EN together.. but how do I do that since its in radical form?

Answer 34

or you can double FN to get EF