Circle and Ellipse Mini-Flashcard

Front

What is the standard equation of an ellipse centered at (h, k)?

Back

Front

What does the variable 'c' represent in the context of an ellipse?

Back

The distance from the center to a focus of the ellipse.

Front

How do you find the distance 'c' in an ellipse?

Back

Front

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

Back

Front

What is the relationship between the lengths of the axes in an ellipse?

Back

The length of the major axis is 2a and the length of the minor axis is 2b.

Front

What is the eccentricity of an ellipse?

Back

Front

What is the range of the x-values for an ellipse centered at (h, k) with semi-major axis a?

Back

Front

What is the range of the y-values for an ellipse centered at (h, k) with semi-minor axis b?

Back

Front

What is the formula for the area of an ellipse?

Back

Front

What is the definition of a focus in an ellipse?

Back

A focus is one of the two fixed points located along the major axis of the ellipse, used to define its shape.