Question

Write the equation of a circle given the center (-4, 4) and raduis r = 5.

Answer 1

A)
`(x+4)^2+(y-4)^2=25`

Explanation:

The equation of a circle is
`(x-h)^2+(y-k)^2=r^2` where
`(h,k)` is the center and
`r` is the radius. If
`(h,k)\rightarrow(-4,4)` and
`r=5`, then:

`(x-h)^2+(y-k)^2=r^2\\\\(x-(-4))^2+(y-4)^2=5^2\\\\(x+4)^2+(y-4)^2=25`

Therefore, the equation of the circle is
`(x+4)^2+(y-4)^2=25`