Question

the area, a, of an ellipse can be determined using the formula ( a = pi xy ), 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 )?
( y = a cdot pi x )
( y = a + (pi x) )
( y = a - pi x )
( y = a div (pi x) )

Explanation:

Step1: Isolate $y$ via division

Divide both sides by $\pi x$:
$\frac{a}{\pi x} = \frac{\pi x y}{\pi x}$

Step2: Simplify to solve for $y$

Cancel $\pi x$ on the right:
$y = \frac{a}{\pi x}$
(Note: The last option likely has a typo, intended to be $y = a \div (\pi x)$ which matches this result)

Answer:

$y = a \div (\pi x)$ (the fourth option, assuming a formatting error in the original)