Polar Graphs

Front

What is a polar graph?

Back

A polar graph is a two-dimensional graph that represents points in terms of their distance from a reference point (the pole) and an angle from a reference direction (the polar axis).

Front

What is the polar coordinate system?

Back

The polar coordinate system uses two values: the radial coordinate (r) which represents the distance from the origin, and the angular coordinate (θ) which represents the angle from the positive x-axis.

Front

What is the equation of a circle in polar coordinates?

Back

Front

What is a cardioid in polar coordinates?

Back

Front

What is a limacon?

Back

Front

What is a rose curve?

Back

Front

How do you determine the number of petals in a rose curve?

Back

If n is odd, the rose curve has n petals. If n is even, the rose curve has 2n petals.

Front

What is the significance of the angle θ in polar coordinates?

Back

The angle θ in polar coordinates determines the direction of the point from the origin, measured counterclockwise from the positive x-axis.

Front

What is the relationship between polar and Cartesian coordinates?

Back

Front

What is the polar equation for a line through the origin?

Back