We are given the value of a and c; a is the width of the ellipse and c is the focus of the ellipse. For an ellipse the equation to be used to find b or the length of the ellipse is:
a^2 = b^2 + c^2
substitute the values in the equation to solve for the missing variable:
8 units is 2a, therefore, a = 4
4^2 = b^2 + 3^2
solve for b:
b = √7 units
Therefore, the value of b is √7 units. To solve for the length of the ellipse (2b), multiply b with 2:
2b = √7 * 2
Length = 2√7 units
