Question

what is the measure of arc XY?

Answer 1

is one of u gunna help me??

Answer 2

Just realized i'm also confused; what is that 38 degrees supposed to represent?

Answer 3

it represents the measure of arc UV

Answer 4

I'm guess relative to the actual center of the circle, and points radiating from the center to point u and v?

Answer 5

Or is z the center of the circle? It's not completely clear. It's just close enough to look like it, but it's a little off.

Answer 6

z is the center

Answer 7

ik how to do it :)

Answer 8

well then tell me lol

Answer 9

Oh, lol. Well, nevermind then, that's not terribly complicated. You want to apply the arc length formula here, which looks like: \[l = \frac{ \theta }{ 360^{o} }*2 \pi r\]

Answer 10

if @Mendicant_Bias gets stuck but i dont like two people teaching at the same time :)

Answer 11

so ill butt out unless u need clearification or something lol =)

Answer 12

haha thanks

Answer 13

i really dont understand ur formula mendicant

Answer 14

So here, even though you don't have real numbers for the most part, you can substitute in values. Since you know that Z is the actual center of the circle, you know that any line radiating from that point through the edge of the circle can be referred to as its radius. So ZU, ZV, ZX, and ZY are all radii.

From here, you can just plug in like so:
\[l = \frac{ 42^{o} }{ 360^{o} }*2 \pi ZU\]
And what don't you understand, specifically? Is there something in there that you don't recognize?

Answer 15

\[l = \frac{ \theta }{ 360^{o} }*2 \pi r\]Where l is the length, theta (the thing on the top half of the fraction) is the angle in degrees, and r is the length of the radius.

Answer 16

ok i get it now

Answer 17

So yeah, just plugin:

\[l = \frac{ 42^{o} }{ 360^{o} }*2 \pi ZU = 0.23 \pi ZU = ~ .733ZU\]

Answer 18

im confused haha sorry

Answer 19

No problem. If you have a specific question, ask, otherwise, just look over it for a little.

Answer 20

u still dont have ZU though..

Answer 21

if ur going to do that now then ill stay mumm :)

Answer 22

Yes. That might just be a variable. If you don't have a length to go off of, you don't have a length. No, I forgot how to do it; it's been a long, long time since i've done this stuff and you clearly want to do it, so go ahead.

Answer 23

so is that ur answer?

Answer 24

Yes, but it's clearly missing something because I haven't solved for ZU, which i'm assuming you can, but I don't remember how.

Answer 25

well ill show her my way now then :)

Answer 26

sounds good to me hawk show away

Answer 27

the angle VXU = 16 understand that rule?

Answer 28

umm how does that work?

Answer 29

btw, did the question state that Z was the center or u r assuming that?

Answer 30

i'm assuming it

Answer 31

all it asks is what is the measure of arc XY

Answer 32

well that's cause it isnt the center and the question makes sense now lol

Answer 33

i'm sorry haha ur right i wasn't paying close enough attention

Answer 34

never assume something lol give me a sec to do it, ik the method u have to use but let me just figure out how to solve it using the method

Answer 35

okay thanks

Answer 36

ok got it

Answer 37

@Mendicant_Bias btw u didnt forget any methods, this is just a topic u havnt done in school yet :)

Answer 38

and i learnt this method here on open study lol and not in school but it's a neat trick :p

Answer 39

Hawk: I highly doubt that, unless this is something in integral or differential calculus that I haven't covered yet, dude. I'm overwhelmingly sure I forgot.

Answer 40

well do u know how i got 16 degrees?

Answer 41

and btw they rnt asking for the length of the arc, they r asking for the angle of the arc

Answer 42

I was under the impression otherwise when Faye told me that Z was the center, as you can see above, lol.

Answer 43

any way back to wat i was saying :) lets finish the question :P

Answer 44

it's fay not faye lol

Answer 45

Sorry. I'll make sure to spell your name right next time, if there ever is a next time.

Answer 46

thanks mend

Answer 47

i asked this question an hour ago and still got no answer -_-

Answer 48

that's a rule where the angle off the circumference of the circle is half of the angle of the arc

Answer 49

That's a shame; you're asking for free help, and beggars can't be choosers. I'd be content with what you get. Anyways, i'm out.

Answer 50

@ashley_fay understand?

Answer 51

yes i know

Answer 52

then wat is the value of angle y?

Answer 53

19?

Answer 54

oh lol i said 16 earlier my bad haha yea it's 19 :)