Question

See attachment. About circles.

Answer 1

I think I need some graph paper.

Answer 2

@Directrix Oh, on here?

Answer 3

I was thinking about how to approach the problem. And, waiting for you to start part (a). :)

Answer 4

@sakigirl --> If I'm to get to bed before 4 a.m., I need you to post what you think the center and radius of the first circle on part (a) would be. I need to check my answer. :)

Answer 5

k, will do

Answer 6

It's kinda hard.

Answer 7

While counting the first one, the second outside circle's vital numbers will probably be easy to get at the same time. It's not as hard as you think once you get into it. Make a drawing. I didn't use graph paper.

Answer 8

@Directrix Meanwhile, can you help me with a different question then?

Answer 9

I have what I think will be the equations for part a. So, which problem would you like to work now?

I just wanted you to check the centers and radii of the circles before I cranked out the equations.

Answer 10

x^2+y^2+2x-35=0

Answer 11

I don't understand how I can find the center of the circle and the radius if there is no (insert number here)y.

Answer 12

Center of left outside circle: (28, 15)
Radius of left outside circle: r = 13
Agree?

Answer 13

Wait how did you do that?

Answer 14

It's messed up.
The radius is half of 26. That is given on the diagram. The 26 diameter is given.

the x-coordinate of the center is 15 + 13 across which is 28.
the y-coordinate of the center is 31 + 13 = 44 up.
Center (28,44), I think.

Answer 15

Left Outer Circle:
(x - 28)^2 + (y-44)^2 = 13^2 ---> tentative equation

I'm moving to the one on the right on the same row now. I really need you to check that first equation.

Answer 16

Okay, finally, I arrived to that question!

Answer 17

Center of right outer circle: (86,44) ??
r = 13

Answer 18

15+26+3+26+3+13 = 86
31 + 13 = 44

Answer 19

(x - 86) ^2 + (y - 44) ^2 = 13^2

Answer 20

See if you agree.

Answer 21

Yes, agree.

Answer 22

@Directrix

Answer 23

I was reading the second part which makes little sense because the three-inch width of the rings should have been a part of the (a) section. Let's work on something else for a while.

Answer 24

However, I think the (b) part has something to do with sliding over the outer rings of part (a) so that they are tangent. Those circles were 3 inches apart in part (a).

Answer 25

Gah! I don't know.

Answer 26

Be right back. I've got to go do something real quick.

Answer 27

Cogitation is required. I may have to cut some 3" thick circles out of paper. Let's work on something else for a while.

Answer 28

Well, that was the last question :P

Answer 29

@Directrix

Answer 30

So, you're going to bed now. Or, you want to work on part (b) or what?

Answer 31

I want to work on it, but I'm not going to bed. I just have something else to do real quick.