![]() To animate, select the Play button at the lower left of your Graphics. To delete the trace paths, select the Move Graphics View and move the workspace dragging the Graphics view.Ģ3. Now, using the Move tool, and set both d and r to 0.Ģ2. Hide the moving circle by right clicking it and selecting Show Object on the context menu.Ģ1. Now Pause the animation by click the button located at the lower-left corner of the Graphics view.Ģ0. This will rotate B’ about the circle and move point C along AB’.ġ9. To do this, right click each slider and select Animation on from the context menu. We now turn on the animation of the two sliders. To change the color, select the Color tab, and select the red (or any color you want) from the color palette. In the Preferences window, select the Basic tab and check the Show Trace check box. To do this, right click point C and choose Object Properties from the context menu to display the Preferences window.ġ7. Next, we change the color of point Cand show its trace. This will produce point C as shown in Figure 2.ġ6. To determine the intersection of the new circle and segment AB’, select the Intersect Two Objects, select the new circle and then select segment AB’. Now, to construct a circle with center A and radius r, type circle in the Input Bar and press the ENTER key on your keyboard.ġ5. Select the Animation tab, then change the speed to 2*pi, select Increasing from the Repeat drop drop down list box, and then click the Apply button.ġ4. ![]() In the Slider dialog box, select the Number option and type r in the name box, change the min to 0, max value to 1, and increment value to 0.01. To do this, select the Slider tool and click a vacant space in the Graphics view to display the Slider dialog box.ġ3. We will use the intersection of this circle and AB’ as the moving point. Next, we construct another slider that will determine the radius of another circle with center at the origin. Now, using the Segment between two Points tool, construct AB’.ġ2. Point B’ should move along the circle as the value of d changes. ![]() In the Rotate Object around Point by Angle dialog box, replace the measure angle with d in the Angle text box, select counter clockwise button, then click the OK button. To do this, select Rotate Object around Point by Angle, click point B, and click point Ato display the Rotate Object around Point by Angle dialog box.ĩ. Next, we rotate point B about A, d degrees counterclockwise. Your drawing should look like Figure 1.Ĩ. In the Slider dialog box, select the Angle button, and type d as the angle name (you may use Greek letters if you want), leave the other values as is, and then click the Apply button. To do this, select the Slider tool, then click a vacant space on the Graphics view to display the Slider dialog box.ħ. Next, we construct an Angle slider that will rotate point B about A. Next, to construct point B on (1,0), type B = (1,0) in the Input Bar, then press the ENTER key.Ħ. To construct a circle with center A and radius 1, type circle, then press the ENTER key.ĥ. This will produce point A on the origin.Ĥ. Select the Intersect Two Objects tool, click the x-axis and click the y-axis. First, we construct the center of the fixed unit circle. To automatically label the new points and not all the other objects click Option>Labeling>New Points Only from the menu bar. Open GeoGebra and select Algebra & Graphics from the Perspectives menu.Ģ. The output applet of this tutorial can be viewed here.ġ. If you want to follow this tutorial step-by-step, you can open the GeoGebra window in your browser by clicking here. ![]() The ratio of the maximum number of petals formed and the number of rotations is a good approximation of Instructions The path of point C forms petals (see red petals in the figures below). As the point rotates, point C goes back and forth from A to B’ at the same speed. In this tutorial, we rotate radius AB’ about point A, the center of the circle. One radian is equal to the subtended angle of the arc with the same length as the circle’s radius. In this tutorial, we learn the concept of radian.
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