Question

(x - 17)^2+(y - 19)^2 = 49
a circle in the xy - plane has the equation shown. how long is the radius of the circle?

Explanation:

Step1: Recall circle - equation formula

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

Step2: Compare with given equation

Given $(x - 17)^2+(y - 19)^2 = 49$, and $49=r^2$.

Step3: Solve for $r$

$r=\sqrt{49}=7$.

Answer:

7