Question

what is the center of the circle x² + y² = 144? simplify any fractions.

Explanation:

Step1: Recall the standard circle equation

The standard - form equation of a circle is $(x - a)^2+(y - b)^2=r^2$, where $(a,b)$ is the center of the circle and $r$ is the radius.

Step2: Rewrite the given equation

The given equation $x^{2}+y^{2}=144$ can be written as $(x - 0)^2+(y - 0)^2 = 12^2$.

Answer:

$(0,0)$