Question

question 2 of 10
what is the radius for the circle given by the equation $(x - 2)^2+y^2 = 14$
round your answer to the nearest thousandth.

Explanation:

Step1: Recall circle - equation formula

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

Step2: Identify the radius - squared value

For the given equation $(x - 2)^2+y^2 = 14$, we have $r^2=14$.

Step3: Calculate the radius

We know that $r=\sqrt{r^2}$. So, $r=\sqrt{14}\approx3.742$.

Answer:

$3.742$