Question

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

Answer 1

Given : the center of the circle = (-4 , 4)

And the radius of the circle = r = 5

The general equation of the circle is :

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

Where (h,k) is the center of the circle and r is the radius of the circle

So, ( h , k ) = ( -4 , 4 ) and r = 5

so, the equation of the circle will be :

`\begin{gathered} (x-(-4))^2+(y-4)^2=5^2 \\ \\ (x+4)^2+(y-4)^2=25 \end{gathered}`