graph the circle x² + y² = 100. plot the center. then plot a point on the circle. if you make a mistake, you…

graph the circle x² + y² = 100. plot 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 x² + y² = 100. plot 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

Answer:

Center: $(0,0)$; Point on circle: $(10,0)$ (other points like $(0, 10),(- 10,0),(0,-10)$ are also valid)

Explanation:

Step1: Recall circle - equation form

The standard form of a circle equation is $(x - a)^2+(y - b)^2=r^2$, where $(a,b)$ is the center and $r$ is the radius. For $x^{2}+y^{2}=100$, we can rewrite it as $(x - 0)^2+(y - 0)^2 = 10^2$. So the center $(a,b)=(0,0)$.

Step2: Find a point on the circle

Let $y = 0$. Then $x^{2}+0^{2}=100$, so $x=\pm10$. We can choose the point $(10,0)$ as a point on the circle.