Answer:
Step-by-step explanation:
<u>Equation of the red eclipse</u> <em>(taken from your previously posted question)</em>:
<u />
<u>General equation of an ellipse</u>
where:
As the center of the red ellipse is (0, 0) ⇒ h = 0, k = 0.
The Major Axis is the longest diameter of an ellipse.
Therefore, using the formula for the vertices, the <u>vertices</u> of the <u>major axis</u> of the red ellipse are (8, 0) and (-8, 0).
The Minor Axis is the shortest diameter of an ellipse.
Therefore, using the formula for the vertices, the <u>vertices</u> of the <u>minor axis</u> of the red ellipse (0, 6) and (0, -6).
Therefore, the <u>radius</u> of the <u>larger circle</u> is 8 units and the radius of the smaller circle is 6 units (half the respective axis, since the radius of a circle is half its diameter).
<u>Equation of a circle</u>
(where (a, b) is the center and r is the radius)
Given:
- center = (0, 0)
- radius = 6 units
The equation of the smaller circle is:
Learn more about equations of circles here:
brainly.com/question/27783217
brainly.com/question/27955619