graph the circle $x^2 + y^2 = 36$.\n\nplot the center. then plot a point on the circle. if you make a…

graph the circle $x^2 + y^2 = 36$.\n\nplot the center. then plot a point on the circle. if you make a mistake, you can erase your circle by moving the second point onto the first.

graph the circle $x^2 + y^2 = 36$.\n\nplot the center. then plot a point on the circle. if you make a mistake, you can erase your circle by moving the second point onto the first.

Answer

Explanation:

Step1: Identify the standard form of a circle

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

Step2: Determine the center of the circle

Comparing $x^2 + y^2 = 36$ to the standard form, $h = 0$ and $k = 0$. $$(h, k) = (0, 0)$$

Step3: Calculate the radius of the circle

The value of $r^2$ is $36$. Taking the square root gives the radius. $$r = \sqrt{36} = 6$$

Step4: Identify a point on the circle

Move $r$ units from the center $(0, 0)$ in any cardinal direction (e.g., right). $$(0 + 6, 0) = (6, 0)$$

Answer:

Plot the center at $(0, 0)$ and a point on the circle at $(6, 0)$.