Question

Please help with this questionWrite the equation for the circle below

Answer 1

SOLUTION

Notice that the center of the circle is (0,0)

The radius of the circle is r=4

Recall that the equation of a circle with center (h,k) and radius r is:

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

Using the value, the equation of the circle is

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

Therefore the equation of the circle is:

$x^2+y^2=16$