A method of drawing a circle by the equation of a known circle

For example, the equation of the known circle: x2+y2=32, the method of drawing a circle has the following two kinds:

Method One will evolve the circle equation to 2 functions, drawing images separately

In the first step, the circle equation is shifted and the square is opened to form two simple functions of y=√ (9-X2) and y=-√ (9-X2).

Step two draws out the y=√ (9-x2) function image. Open the Geometry artboard, click on the "Drawing" menu, select the "Draw new function" command in its Drop-down menu, pop Up the Function dialog box, enter the expression shown in the following image, click "OK" to draw the function image.

To draw a function image sample in a geometric artboard

Step three to draw the y=-√ (9-x2) function image. Open the Geometry artboard, click the "Drawing" menu above, select "Draw new Function" command in its Drop-down menu, pop-up Function dialog box, in which the same as the previous step, enter the function expression, click "OK", you can get the image of the function shown below.

Drawing a function image in a geometric artboard to get a circle example

Method two draw circle with new parameter

Step one establishes the coordinate system and creates a new parameter. Open the Geometry artboard, perform the "drawing"--"Define coordinate system" command to establish a rectangular coordinate system; By the equation of the circle, it is known that the circle radius is 3, so the parameter T1 of the new distance is 3, the "Data"--"New parameter" command is selected, and the new Parameter dialog box that pops up selects "distance" and fills in the value 3;

New parameter T1 sample in geometry artboard

Step two performs a mark distance operation on the parameter T1. Select "Move Arrow Tool" Select the parameter T1, click on the "Transform" menu above, select "Mark Distance" command in its Pull-down menu;

Example of marking distance command for parameter T1

Step three takes the parameter T1 as the RADIUS construction circle. Use the move Arrow tool to select the parameter T1 and the unit origin, and then perform "construct"-"circle with center and radius" so that the circle is drawn.

Example of constructing circle with parameter T1 as radius

Tip: If the center of the circle is not at the origin, you can define the coordinate system and then perform the "drawing"--"Draw point" and enter the coordinates of the original point. Select this point and radius when drawing a circle.