Question

find the center and radius of the circle. write the standard form of the equation. the center of the circle is (h,k)=(3,2). (type an ordered pair.) the radius of the circle is r = 3. the equation of the circle in standard form is (type your answer in standard form.)

Explanation:

Step1: Recall circle standard - form equation

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 given values

We are given that $h = 3$, $k = 2$, and $r = 3$. Substituting these values into the standard - form equation, we get $(x - 3)^2+(y - 2)^2=3^2$.

Step3: Simplify the equation

$(x - 3)^2+(y - 2)^2 = 9$.

Answer:

$(x - 3)^2+(y - 2)^2=9$