Answer: see below
<u>Step-by-step explanation:</u>
1) The equation of a circle is: (x - h)² + (y - k)² = r² where
- (h, k) represents the center of the circle
- r represents the radius of the circle.
2) If you are given a point on the circle and the center (h, k)
you can input those points into the equation of a circle to find r².
Then input (h, k) and r² to identify the equation of that particular circle.
3) If you divide each term in the equation of a circle by r², you will get:
- (h, k) is the center of the circle
- r is the x-radius and y-radius
The difference between a circle and an ellipse is that an ellipse is in the shape of an oval. In other words, the x-radius and y-radius are different.
The equation of an ellipse is:
- (h, k) is the center of the ellipse
- a is the x-radius
- b is the y-radius