Question

Find an equation of the circle that has center (1,-6) and passes through (5,-1) .

Answer 1

I will give medal...

Answer 2

lol u'll get 2 medals, 2 fans, and 2 fan testimonials @linda3 u gotta know how to bribe the people ;)

Answer 3

lol.... too funny... >.<

Answer 4

gracias mi amor ;)

Answer 5

no... it's stupid OS.... it's broken...

Answer 6

y'd u delete your comment!?? I sound like i'm talking to myself -_-

Answer 7

you know the centre, you know what it passes through

if we connect the centre and the point it passes through we get the radius
to do that we need the distance of the segment.
To do this we have a formula

d=sqrt((x2-x1)^2+(y2-y1)^2)

this gives us our radius squared.

x2 x1 y2 y1 are the coordinates from the centre and point it passes through

once you get d

use your standard equation
(x+a)^2+(y+b)^2=r^2

where r^2=d

Answer 8

hmm... I'm looking for a formula that looks more like this..

(x-h) to the powers of 2 + (y-k) to the power of 2 = r to the power of 2

Answer 9

it is the same formula with different letters lol

Answer 10

oh lol ... ok...

Answer 11

ok, lets start with the equation
\[(x-h)^{2}+(y-k)^{2}=r\]

Answer 12

with the center being (1,-6)
it becomes \[(x-1)^{2}+(y+6)^{2}=r ^{2}\]

Answer 13

now how do we get r to the power of 2 ?

Answer 14

to find r^2, lets do a distance formula.
\[\sqrt{(x _{2}-x _{1}) +(y _{2}-y _{1})}\]

Answer 15

I wanted to draw it out, but since it's not working, imagine the center at (1, -6) and the other point at (5, -1). The distance between them must be the radius. By the distance formula,

r = sqrt( (5-1)^2 + (-1+6)^2 ) = sqrt(4^2 + 5^2) = sqrt(41).

By looking at the center, we see that that the circle is shifted 1 to the right (x - 1) and 6 down (y + 6). Plug all this into the equation for a circle that you mentioned and you get.

(x-1)^2 + (y+6)^2=r^2

Plug in sqrt(41) for r (which we got earlier) to get the final answer:

(x-1)^2 + (y+6)^2=41

Answer 16

use the formula for the distance from two points

Answer 17

now there's some talking! hahaha

Answer 18

once u get that answer, u replace r with the answer,

Answer 19

points are (1,-6) (5,-1)
\[\sqrt{(5-1)+(-1-6)}\]

Answer 20

\[-1--6\]*

Answer 21

i really wish the equation signs on OS would work cause it make this a lot easier .. -_-

Answer 22

it gives u \[\sqrt{9}\] or 3

Answer 23

wait... but thats a different answer than what @bagajr gave

Answer 24

so the equation is (x−1)2+(y+6)2=r2\[(x-1)^{2}+(y+6)^{2}=3^{2}\]

Answer 25

so does r to the power of 2 equal 3 or 41?

Answer 26

weird. the distance formula as i said, was stated above, ima double check my work

Answer 27

You forgot the squares in distance formula

Answer 28

no, it equals 3^2 or 9

Answer 29

o. right i did lol

Answer 30

So do we agree on r^2=41?

Answer 31

gahhh... which answer is right O_o

Answer 32

correction on distance formula. \[\sqrt{(x _{2}-x _{1})^{2}+(y _{2}-y _{1})^{2}}\]

Answer 33

i'm gonna go with 41 as the right answer for r to the power of 2

Answer 34

41=r^2

Answer 35

sqrt to get r

Answer 36

bagajr is

Answer 37

so u can right the answer as \[(x-1)^{2}+(y+6)^{2}=1681\] or \[41\] if u prefer

Answer 38

write*

Answer 39

that is wrong

Answer 40

41^2*

Answer 41

no square root 41 is r

Answer 42

no, r = 41.

Answer 43

5-1=4
-1--6=5
root 41=r
41=r^2

Answer 44

41 is the distance, and r^2 is that distance squared

Answer 45

root41 is the distance

Answer 46

no i believe amor is actually right

Answer 47

I am right

Answer 48

lol >.< probably

Answer 49

forgot to square root in distanec formula T_T

Answer 50

lol its okay! xD thank you for helping me!!! :)

Answer 51

http://answers.yahoo.com/question/index?qid=20110923162212AAMSUSG maybe this will help clear things

Answer 52

i should do stuff on paper moer often, rather than in my head T_T

Answer 53

pen and paper is your best friend ;)

Answer 54

ive become lazy since i started online school :/

Answer 55

lmao when I am on my computer I find it so much effort to get pen and paper xD

Answer 56

thank you also @amorfide!

Answer 57

No problem, anything to procrastinate my studies for my exam on friday

Answer 58

haha yeah i have an exam next wednesday! :/

Answer 59

Guys important question... where is my calculator? It was on my bed, and then it vanished, medal to correct answer

Answer 60

it fell from the bed, was kicked away, and is now in the kitchen.

Answer 61

lol it was in the kitchen aswell