6.10 Equations of Circles

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 (h, k) is the point around which the circle is drawn, and it is derived from the standard equation of the circle.

Front

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

Back

Front

Back

The center of the circle is (5, -2).

Front

Back

Front

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

Back

Front

How can you determine if a point (x, y) lies inside, on, or outside a circle?

Back

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

Front

What is the equation of a circle with a radius of 3 and center at (0, 0)?

Back

Front

What is the equation of a circle with center (2, -1) and radius 4?

Back

Front

Back

The center is (4, -5).