Question

In the standard (x,y) coordinate plane, one of the following is an equation of the circle that can be inscribed in the ellipse 4x2 9y2 = 36. Which equation is that?

Answer 1

The equation of the circle that can be inscribed in the ellipse 4x^2 + 9y^2 = 36 is x^2 + y^2 = 9.

Step-by-step explanation:

The equation of the circle that can be inscribed in the ellipse 4x2 + 9y2 = 36 is x2 + y2 = 9.

To find this equation, we need to understand that the radius of the inscribed circle is equal to half of the length of the minor axis of the ellipse. In this case, the length of the minor axis is 6, so the radius of the inscribed circle is 3.

Therefore, the equation of the circle is x2 + y2 = 9.