Question

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

Answer 1

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