Question

The center of a circle represented by the equation (x − 5)2 + (y + 6)2 = 42 is

Answer 1

center = (5, -6)
.....................

Answer 2

we know that

The center-radius form of the circle equation is in the format

`(x-h)^(2) +(y-k)^(2) =r^(2)`

where

(h,k) is the center of the circle

r is the radius of the circle

In this problem

we have

`(x -5)^(2) + (y + 6)^(2) = 4^(2)`

where

the center (h,k) is the point
`(5,-6)` and the radius is equal to
`4` units

therefore

the answer is

The center of the circle is the point
`(5,-6)`