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Open the geometric sketchpad, select the [Circle Tool] on the left sidebar, click the mouse on the sketchpad to determine the center O of the circle, then drag the mouse and release it at the appropriate position to draw a circle.
Use [Point Tool] to draw two points A and B on the circle, and use [Move Arrow Tool] to select the two points and the circle, click [Construction] on the upper menu bar - [Arc on Circle] 】, an arc is constructed in this way, select the circle to hide it, and obtain the sector shape as shown in the figure.
Construct points on the arc. Use the [Move Arrow Tool] to select arc AB, and click the [Construction] - [Point on Arc] command in the upper menu bar, thus constructing point P on arc AB,
Use the [Line Segment Tool] to construct the line segment OP, use the [Move Tool] to select the line segment OP and point P (point O is not selected), and click the [Construction] - [Trajectory] command in the upper menu bar, as shown in the figure.
After performing the above operation, you can see that the inside of the fan shape is filled with shadow, which is actually the movement trajectory of the line segment OP, as shown in the figure.
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