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.

Question

Which is an equivalent equation solved for y?

y = a · πx
y = a + (πx)
y = a – πx
y = a ÷ (πx)

Answer 1

To solve for \( y \) in the equation \( a = \pi x y \), we can isolate \( y \) by following these steps:

Starting from: \[ a = \pi x y \]

We can divide both sides by \( \pi x \): \[ y = \frac{a}{\pi x} \]

This means that the correct equivalent equation solved for \( y \) is: \[ y = a \div (\pi x) \]

Thus, the answer is: y = a ÷ (πx).