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? \\(\bigcirc\\) \\(y = a \cdot \pi x\\) \\(\bigcirc\\) \\(y = a + (\pi x)\\) \\(\bigcirc\\) \\(y = a - \pi x\\) \\(\bigcirc\\) \\(y = a \div (\pi x)\\)

Explanation:

Step1: Start with the given formula

We have the formula for the area of an ellipse: \( a = \pi x y \).

Step2: Solve for \( y \)

To isolate \( y \), we need to divide both sides of the equation by \( \pi x \). So, \( \frac{a}{\pi x}=y \), which is the same as \( y = a\div(\pi x) \).

Answer:

\( y = a \div (\pi x) \) (the last option among the given choices)