Answer:
Step-by-step explanation:
Given: The center of the circle is [tex](6,7)[/tex] and the radius is [tex]9[/tex].
To find: The standard equation for the circle.
Solution: The standard equation for the circle with center [tex](a,b)[/tex] and radius [tex]r[/tex]is given as:
[tex](x-a)^2+(y-b)^2=r^2[/tex]
Now, the center is [tex](6,7)[/tex] and the radius is [tex]9[/tex], thus the equation of circle is:
[tex](x-(-6))^2+(y-7)^2=(9)^2[/tex]
[tex](x+6)^2+(y-7)^2=(9)^2[/tex]
which is the required equation of circle with center as [tex](6,7)[/tex] and the radius is [tex]9[/tex].
