Question

The equation of a circle is ​ (x+9)2+(y+6)2=225 ​ .

What is the center of the circle?



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Answer 1

You can read off the coordinates of the center of (x+9)2+(y+6)2=225 directly: h= -9 and k= -6, so the center is at (-9, -6).

Answer 2

`(-9,-6)`

Explanation:

We have been given an equation of a circle
`(x+9)^2+(y+6)^2=225`. We are asked to find the coordinates of the center of the given circle.

We know that center-radius form of a circle is in format:
`(x-h)^2+(y-k)^2=r^2`, where,

`(h,k)=\text{Center of circle}`,

`r=\text{Radius of circle}`

Upon comparing our given equation with center-radius form of a circle we will get,

`(x-(-9))^2+(y-(-6))^2=15^2`

Therefore, the center of our given circle is at point
`(-9,-6)`.