Question

Which explains how to find the radius of a circle whose equation is in the form x² + y² = z?

1) The radius is the constant term, z.
2) The radius is the constant term, z, divided by 2.
3) The radius is the square root of the constant term, z.
4) The radius is the square of the constant term, z.

Answer 1

The radius of a circle with the equation x² + y² = z is found by taking the square root of the constant term z.

Step-by-step explanation:

To find the radius of a circle whose equation is in the form x² + y² = z, you need to compare this equation to the standard form of a circle's equation, which is x² + y² = r², where r represents the radius of the circle. In this standard form, the right side of the equation, r², is the square of the radius. Therefore, to find the radius from the given equation, you take the square root of the constant term z. The correct option is 3) The radius is the square root of the constant term, z.