Question

what is the radius of the circle $x^{2}+y^{2}=1$? write your answer in simplified, rationalized form.

Explanation:

Step1: Recall circle - equation formula

The standard form of the 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: Compare given equation with standard form

The given equation is $x^{2}+y^{2}=1$, which can be written as $(x - 0)^2+(y - 0)^2=1^2$.

Answer:

$1$