Circle Equations Practice

Front

What is the standard form of a circle's equation?

Back

Front

How do you find the radius of a circle from its equation?

Back

Front

What does the center of a circle represent in its equation?

Back

Front

Back

The center of the circle is (-3, 2).

Front

Back

The radius of the circle is 3 units, since r^2 = 9.

Front

How do you determine if a point lies inside, on, or outside a circle?

Back

To determine the position of a point (x, y) relative to a circle, plug the coordinates into the circle's equation. If the result is less than r^2, the point is inside; if equal, on the circle; if greater, outside.

Front

What is the equation of a circle with center (0, 0) and radius 5?

Back

Front

What is the significance of the value 'r' in the circle's equation?

Back

The value 'r' represents the radius of the circle, which is the distance from the center to any point on the circle.

Front

Back

The radius is 4 units, since r^2 = 16.

Front

What does it mean if a circle's equation has a negative radius?

Back

A negative radius is not possible in geometry; it indicates an error in the equation.