Circle Equations

Front

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

Back

Front

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

Back

Front

Back

The center of the circle is (4, -2).

Front

Back

Front

Back

It represents a point, specifically the center of the circle at (3, 2), with a radius of 0.

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; if equal, it's on; if greater, it's outside.

Front

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

Back

Front

What is the significance of the radius in a circle's equation?

Back

The radius determines the size of the circle; larger radius means a larger circle.

Front

Back

The center is (1, -3).

Front

What is the relationship between the diameter and radius of a circle?

Back