Question

This circle is centered at the origin and the length of its radius is 4 what is the circles equation

Answer 1

Given that the circle is centered at the origin.

`(h,k)=(0,0)`

And the radius of the circle is 4;

`r=4`

Recall that the general equation of a circle is;

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

Substituting the given values;

`\begin{gathered} (x-h)^2+(y-k)^2=r^2 \\ (x-0)^2+(y-0)^2=4^2 \\ x^2+y^2=16 \end{gathered}`

Therefore, the equation of the cir