Question

The equation below describes a circle. What are the coordinates of the center of the circle? (X-6)^2+(y+5)^2=15^2

Answer 1

Explanation:

6,-5 ON APEXXXXX

Answer 2

Answer: (6, -5)

Explanation:

The general equation of a circle is given by :-

`(x-h)^2+(y-k)^2=r^2`, where (h,k) is center and r is radius of the circle.

Given : The equation of a circle :
`(x-6)^2+(y+5)^2=15^2`

`\Rightarrow\ (x-6)^2+(y-(-5))^2=15^2`

Comparing to the general equation of circle , we get

`(h,k)=(6, -5)`

Hence, the coordinates of the center of the circle = (6, -5)