PLEASE HELP ME ANSWER THIS QUESTION



Find the equation of the circle in standard form for the given center (h, k) and radius
r: (h, k) = (5, 4), r = 2

Respuesta :

The equation of a circumference can be written as:
[tex](x - xh) {}^{2} + (y - yk) {}^{2} = r {}^{2} [/tex]
[tex](x - 5) {}^{2} + (y - 4) {}^{2} = 4[/tex]
[tex]x {}^{2} - 10x + 25 + y {}^{2} - 8y + 16 - 4 = 0[/tex]
The solution is:
[tex]x {}^{2} + y {}^{2} - 10x - 8y + 37 = 0[/tex]