Question

How do I find the equation of a circumference when I have to points A and B that belongs to the circumference. The center of the circumference is in the line L ( AX+BY+C=0). I attach a draw

Answer 1

do u have the arc length between a and b?

Answer 2

no

Answer 3

I think we have to make an equation system of three equations

Answer 4

hmm seems like it
x^2 + y^2 = r^2 would probably be helpful

Answer 5

and the equation of the line

Answer 6

I do have the equation of the line, but now right now.

Answer 7

suppose I give you the this equation, what should you do?

Answer 8

looks like y= (-ax-c)/b

Answer 9

and x = (-by-c)/a

Answer 10

then using those plug it into the equation of a circle x^2 +y^2 =r^2

Answer 11

and solving for r and using that r to find the circumference

Answer 12

im not sure if thats the way to go

Answer 13

lets try with this info I invented

A=(-2,2)
B=(2,2)

and the line is y=X

Answer 14

the equation of the circle, for this specific case must be (x-h)2 +(y-k)2 = r2, right?

Answer 15

yes centered at (h,k)

Answer 16

Ok thank you very much. Im gonna do it on my way to the University. Thank you very much