Question

What is the equation of a clrcle with center (1,-4) and radius 22 O A. (X- 19 - (y+1) - 4 O B. (x+1)* + (y - 45 - 4 O C. (x11+ (y + 4y = 2 O 1 D. (x = 199 + (y +4)* - 4

Answer 1

The general form of the equation of a circle is:

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

Where the center is located at (h,k) and "r" is the radius. from the given information, we know that "h" equals 1, "k" equals -4 and "r" equals 22, by replacing these values we get:

`\begin{gathered} (x-1)^2+(y-(-4))^2=22^2 \\ (x-1)^2+(y+4)^2=484 \end{gathered}`