what is c(6,-9),r=14? that is a general equation of the circle


Sagot :

Center: (h,k)= (6, -9)
radius= 24

STANDARD FORM:
[tex](x-h) ^{2} + (y-k) ^{2} = r ^{2} [/tex]

h = 6
k = -9

[tex](x - 6) ^{2} + (y-(-9)) ^{2} = (14) ^{2} [/tex]

[tex](x-6) ^{2} + (y+9) ^{2} = 196[/tex], Standard Form

GENERAL FORM:
[tex](x-6) ^{2} +(y+9) ^{2} =196[/tex]
[tex]x ^{2} -12x+36 + y ^{2} +18y+81-196 = 0[/tex]
[tex] x^{2} +y ^{2} -12x + 18y + 36 + 81 - 196 = 0[/tex]

Simplify:

[tex]x ^{2} +y ^{2} -12x+18y-79=0[/tex],  General Form