Question

how do you find what x equals in the circle equation? still need help...

Answer 1

(x-4)^2 + (y-2)^2 = 196

Answer 2

an equation of a circle is given. a. determine its center. b. determine its radius c. find 2 points on the circle

Answer 3

so far I have a. (4,2) b. r=14 and i'm working on C

Answer 4

I know how to solve c, I just dont know how to get x

Answer 5

your job is just to find two points right? any two points on the circle?

Answer 6

correct

Answer 7

I just don't know the boundaries of the points I can choose from.

Answer 8

since the center is (4,2) and the radius is 14 you can go 14 units in any direction

Answer 9

oh ok

Answer 10

for example if you go 14 units to the right, you will get (18,2)

Answer 11

so would you just had 14 to both.. OHHHH ok!!

Answer 12

if you go 14 left you will get (-10,2)

Answer 13

oh.. you don't add 14 to the 2 too?

Answer 14

14 up will give you (4,16) etc

Answer 15

no no only in one direction

Answer 16

oh ok

Answer 17

you could also pick some x and solve for y if you like. it will be more work and you will get radicals

Answer 18

but easier just to go 14 left, 14 right, 14 up and 14 down

Answer 19

ok. which one would be the x value?

Answer 20

but you could for example make \(x=0\) and solve \((0-4)^2+(y-2)^2=196\)

Answer 21

ok.. is it possible to make x = 0 for all equations?

Answer 22

Because that would be very helpful.

Answer 23

from the picture you should see if the center is (4,2) and the radius is 14 then you are going 14 units to the right and that coordinate would be (18,2)

Answer 24

ok that makes sense so far..

Answer 25

I think of a graph when I think of it.. like this..