Question:
The area, a, of an ellipse can be determined using the formula a = πxy, where x and y are half the lengths of the largest and smallest diameters of the ellipse. Which is an equivalent equation solved for y?
Answer:
[tex]y = \frac{a}{\pi x}[/tex]
Step-by-step explanation:
Given
[tex]a = \pi xy[/tex]
Required
Solve for y
The question implies that, we make y the subject of formula:
This is done as follows:
[tex]a = \pi xy[/tex]
Divide through by [tex]\pi x[/tex]
[tex]\frac{a}{\pi x} = \frac{\pi xy}{\pi x}[/tex]
Isolate y on the right hand side
[tex]\frac{a}{\pi x} = y[/tex]
Reorder
[tex]y = \frac{a}{\pi x}[/tex]
Hence, the solution to the question is: [tex]y = \frac{a}{\pi x}[/tex]
