Question

question 13
write the standard form of the equation of the circle having the given radius and center. then, graph the circle.
r = 6, center: (-1, -1)
equation:

Explanation:

Step1: Recall circle - equation formula

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

Step2: Substitute the given values

Given $h=-1$, $k = - 1$, and $r = 6$. Substitute these values into the formula: $(x-(-1))^2+(y - (-1))^2=6^2$.

Step3: Simplify the equation

$(x + 1)^2+(y + 1)^2=36$.

Answer:

$(x + 1)^2+(y + 1)^2=36$