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