Equations of Circles

Front

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

Back

Front

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

Back

Front

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

Back

Front

Convert the equation x² + y² + 4x + 6y - 36 = 0 to standard form.

Back

Front

Back

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

Front

What is the equation of a circle with center (4, -2) and radius 3?

Back

Front

How do you complete the square for the equation of a circle?

Back

To complete the square, rearrange the equation to group x and y terms, then add the necessary constants to both sides to form perfect squares.

Front

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

Back

Front

Back

The center is (-1, 5) and the radius is 5 units.

Front

What does the term 'radius' mean in the context of a circle?

Back

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