Standard Equation of a Circle

Front

What is the standard equation of a circle with center (h, k) and radius r?

Back

Front

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

Back

The center of a circle (h, k) represents the point in the Cartesian plane around which the circle is drawn.

Front

How do you determine the radius from the standard equation of a circle?

Back

Front

What is the standard equation of a circle centered at the origin with radius 5?

Back

Front

If the center of a circle is at (-3, -4) and the radius is 3, what is the standard equation?

Back

Front

What is the significance of the radius squared in the standard equation of a circle?

Back

The radius squared (r^2) determines the size of the circle; it is the distance from the center to any point on the circle.

Front

How can you identify the center of a circle from its equation?

Back

Front

What is the standard equation of a circle with center (5, 6) and radius 7?

Back

Front

What does it mean if the radius in the standard equation of a circle is zero?

Back

If the radius is zero, the circle is reduced to a single point, which is the center of the circle.

Front

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

Back