The equation of the ellipse formed is x²/11.7² + y²/12² = 1
Equation of an ellipse
The formula for calculating the equation of an ellipse is expressed as;
x²/a² + y²/b² = 1
where
a and b are the minor an major axis respectively;
Given the following
b = 12
e = 0.5
Determine the value of a
e² = √b²-a²/b
0.5² = √12²-a²/12
12 * 0.25 = √144-a²
9 = 144 - a²
a² = 136
a = 11.7
Substitute into the fomula
x²/11.7² + y²/12² = 1
Hence the equation of the ellipse formed is x²/11.7² + y²/12² = 1
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