Question

Write the standard equation for the circle center (–6, 7), r = 9.

Answer 1

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 $9$.

Answer 2

The standard equation for the circle centre can be written by using this formula: (x-h)² + (y -k)² = r² 

So, the equation in this case is: (x+6)² + (y-7)² = 81