Question

MEDALS MEDALS MEDALS MEDALS MEDALS!

A circle is centered at the point (5, -4) and passes through the point (-3, 2).

what the equation?

Answer 1

\[\large\rm (y-y1)^2+(x-x1)^2 =r^2 \] where (x1,y1) denotes the centre of the circle and r portrays the radius of the circle.

Answer 2

im not undering standing i got 100^2 but that translate into 10,000 but thats not and equation?

Answer 3

Can somebody help explain

Answer 4

x1 and y1 are the center of the circle so replace x1 by 5 and y1 by -4
this gives you

(x - 5)^2 + (y + 4)^2 = r^2


now you need to find the radius r

Answer 5

Now substitute the points it is passing with in place of x and y

Answer 6

yes

Answer 7

this will give you the value of r^2
Then you are done.

Answer 8

okay so what i did was used the two points given for x and y. so it was like this when i wrote it out,
(-4-2)^2+(5--3)^2= r^2
and i got 100^2 which is 10,000, im not quite understanding what to do next. did i mess up? could you do white board? i learn better like that

Answer 9

r^2 comes to -8^2 + 6^2 = 64 + 36 = 100

so RHS =r^2 = 100

Answer 10

sorry cant do white board

Answer 11

where'd you get -8

Answer 12

(x - 5)^2 = (-3-5)^2 = (-8)^2

Answer 13

- should have written it (-8)^2

Answer 14

Im not understanding did i do it right?

Answer 15

correct is
(-3 - 5)^2 + ( 2 + 4)^2 = (-8)^2 + 6^2 = 100

Answer 16

you didnt substitute the values correctly It was pure luck you got it 100!

Answer 17

the x is replaced by -3 and the y by 2

Answer 18

oh okay. haha Im sorry im diffucult i have a very hard time with mathh, now that i have 100, what exactly do i do with it?

Answer 19

that is the value of r^2 in the general form of the equation so the final answer is

(x - 5)^2 + ( y + 4)^2 = 100

Answer 20

i was definently over thinking lol Thank you! medals for you!

Answer 21

yw

Answer 22

wait
im on plato its fill in the blanks and it says this...

Answer 23

(x+___)^2+(y+___)^2=___

Answer 24

@welshfella

Answer 25

well they are the values we just found for x1, y1 and r^2
5 , -4 and 100

Answer 26

okay thanks. :)