Equations of a Circle

Front

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

Back

Front

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

Back

The radius of a circle represents the distance from the center of the circle to any point on its circumference.

Front

How do you find the radius from the equation of a circle in standard form?

Back

Front

Back

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

Front

Back

Front

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

Back

Front

What is the significance of the number on the right side of the standard form equation of a circle?

Back

Front

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

Back

Substitute the point's 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 (7, 0) and radius 3?

Back

Front

Back

The radius is 5.