Question

Find the equation of the circle in standard form for the given center (h, k) and radiusr: (h, k) = (0, 0), r = 44x2 + 4y2 = 16x2 + y2 = 4x2 + y2 = 162x2 + 2y2 = 16

Answer 1

Hello!

First, let's write some important information:

Center = (0, 0), r = 4.

To write the equation of the circle, we must use the formula below:

$\left(x-x_C\right)^2+(y-y_C)^2=r^2$

As we know the values of the center and the radius, let's replace them in the equation:

$\begin{gathered} \left(x-0\right)^2+(y-0)^2=4^2 \\ \\ \boxed{x^2+y^2=16} \end{gathered}$

Answer:

Alternative C.