Question

The area, a, of an ellipse can be determined using the Which is an equivalent equation solved for y? formula a=π xy , where x and y are half the lengths of the largest and smallest diameters of the ellipse.

a.y=a· π x
b.y=a+(π x)
c.y=a-π x
d.y=a/ (π x)

Answer 1

To find the equivalent equation from A = πxy for y, divide both sides by πx to get y = A / (πx). Option d, y = A / (πx), is the correct answer.

Step-by-step explanation:

The question asks to solve the formula A = πxy for y, which represents the area of an ellipse where x is half the length of the major axis, and y is half the length of the minor axis.

To isolate y, divide both sides of the equation by πx:

A = πxy
A / (πx) = y

So, the equivalent equation solved for y is:

y = A / (πx)

Option d from the list provided is the correct transformation of the given formula: d.y = A / (πx)