Equations of Circles

Front

What is the standard equation of a circle?

Back

Front

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

Back

Front

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

Back

Front

Back

Front

Back

The center of the circle is (-4, 3).

Front

How do you convert the general form of a circle's equation to standard form?

Back

Front

What is the significance of the values D, E, and F in the general equation of a circle?

Back

The values D and E are related to the center of the circle, while F affects the size and position of the circle.

Front

Back

The center is (3, -1) and the radius is 6.

Front

What is the formula to find the distance between two points on a circle?

Back

Front

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

Back

Substitute the point (x, y) into the circle's equation. If the result is less than r^2, it's inside; equal to r^2, it's on; greater than r^2, it's outside.