Question

Which equation represents a circle with a radius of 7 and a center with coordinates (-2,5)?

Answer 1

The equation is:

`(x+2)^2+(y-5)^2=49` (simplified if needed)

or

`(x+2)^2+(y-5)^2=7^2`

Explanation:

The equation of a circle is :

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

-So, putting the radius 7 and the center (-2,5) on the equation, would be:

`(x+2)^2+(y-5)^2=7^2`

-when you put them onto that equation, the radius needs to be simplified by the exponent if needed:

`(x+2)^2+(y-5)^2=49`