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Select at least one pair of XY columns. When using Polar theta(X) r(Y) to plot a graph, X represents the Angular (Units are in degrees) and Y is the Radius, and when using Polar r(X) theta(Y), X is the Radius and Y represents the Angular (Units are in degrees).
Take Polar theta(X) r(Y) for example.

POLAR.OTP for Polar theta(X) r(Y).
POLARXRYTHETA.OTP for Polar r(X) theta(Y).
(All above are installed to the Origin program folder).
The graph window has three buttons:
Click Set Angular Range to modify the starting and ending angular values, as well as the increment.
Click 90<--0 to set the first angular value at "3 o'clock" and increment counterclockwise.
Click 0-->90 to set the first angular value at "12 o'clock" and increment clockwise.
Select Fixed from 0 to display the polar graph with the center of the graph representing a Y value of 0. Select Use Y-Axis Range to display the polar graph with the center of the graph representing the Y axis scale "From" text box value (on the Scale tab of the Axis dialog box).
To Modify the Angular Range
Click Set Angular Range to open the Angular Range dialog box.
Specify the starting and ending angular values, as well as the angular increment.
To Modify the Circular Grids
Select Format: Axes: Y Axis to open the Y Axis dialog box.
Select the Grid Lines tab. Horizontal is the active selection in the Selection list box. Horizontal grids are equivalent to circular grids in a polar graph. To customize the circular grids, make modifications to this tab when Horizontal is selected from the Selection list box.
To Modify the Radial Grids
Select Format: Axes: X Axis to open the X Axis dialog box
Select the Grid Lines tab. Vertical is the active selection in the Selection list box. Vertical grids are equivalent to radial grids in a polar graph. To customize the radial grids, make modifications to this tab when Vertical is selected from the Selection list box.