Equations and Graphs of Circles 2024

Front

What is the standard form of the 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

The radius of a circle represents the distance from the center to any point on the circle, and it is the square root of the value on the right side of the equation in standard form.

Front

Back

The center is (-2, -4).

Front

Back

The radius is 3, since r = sqrt(9) = 3.

Front

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

Back

Front

What is the equation of a circle with center (4, 0) and radius 4?

Back

Front

What is the significance of the values h and k in the circle's equation?

Back

The values h and k represent the x and y coordinates of the center of the circle, respectively.

Front

What is the equation of a circle with center (0, -4) and radius 2?

Back

Front

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

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; if greater, outside.