This equation is equal to the first one because it produces the same results, always. ... TL;DR - The circle equation is what you get when you multiply all terms from the ellipse equation by the radius. x^2/a^2 + y^2/b^2 = 1 is an ellipse equation. Well, a circle has a radius where a and b are the same.
This ellipse is centered at the origin and has a horizontal axis of length 26 and a vertical axis of length 12 What is its equation?
6*4
X^2/2^2 + y^2/4^2 = 1
X-4^2/5^ + Y+^2/6^2 = 1
Apexx2/36 + y2/81 = 1~PurpleLicious~
This ellipse is centered at the origin and has a horizontal axis of length 26 and a vertical axis of length 12 What is its equation?
6*4
X^2/2^2 + y^2/4^2 = 1
X-4^2/5^ + Y+^2/6^2 = 1
x2/52 + y2/93 = 1
x2/82 + y2/242 = 1
bx2/14 +y2/25 =1
x2/82+y2/42=1
Apexx2/36 + y2/81 = 1~PurpleLicious~
apexx2/81 + y2/9 =1~PurpleLicious~
x2/4^2+y2/12^2=1
By taking a coordinate system with origin at the center of the ellipse, and x-axis along the major axis, and y-axis along the minor axis, then the ellipse intercepts the x-axis at -5 and 5, and the y-axis at -2 and 2. So that the equation of the ellipse x2/a2 + y2/b2 = 1 becomes x2/52 + y2/22 = 1 or x2/25 + y2/4 = 1.