Respuesta :

laughoutloudhaha
x^2 + (y-8)^2 = 64

use the center for the left side of the equation. X goes with X, Y goes with Y. Always do the opposite sign. The equation is equal to the radius squared 


Hope this helped : )
isyllus

Answer:

The equation of circle is [tex]x^2+y^2-16x=0[/tex]

Step-by-step explanation:

Given: Centre of circle: (0,8) and Radius = 8

Formula: Equation of circle if centre (h,k) and radius r

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where, (h,k)-> (0,8) and r=8

Now, we will put the value of centre and radius into formula

Equation of circle:

[tex](x-0)^2+(y-8)^2=8^2[/tex]

[tex]x^2+(y-8)^2=64[/tex]

In expanded form equation of circle.

[tex]x^2+y^2-16x+64=64[/tex]

[tex]x^2+y^2-16x=0[/tex]

Hence, The equation of circle is [tex]x^2+y^2-16x=0[/tex]

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