How to draw the inscribed circle of a regular polygon using the geometric sketchpad

When drawing the inscribed circle of a regular polygon on the geometric sketchpad, you need to find the intersection point of the center of the polygon and the perpendiculars of each side. PHP editor Xiaoxin will introduce the specific steps in detail to help you easily draw the inscribed circle of a regular polygon. Please continue reading the following content to learn the specific method.

Taking the regular pentagon as an example, click the [Data]-[New Parameter] command in the upper menu bar, enter the value 5 in the pop-up dialog box, and click the [OK] button. Create new parameters.

Click the [Custom Tools] button on the left sidebar and select [Regular Polygon] - Any regular polygon tool in the pop-up tool menu, as shown in the figure.

At this time, click the newly created parameter with the mouse, click once on the canvas to determine the position of the regular pentagon, and then click the mouse again to draw the regular pentagon.

Step 2 Find the tangent point

The tangent point of the inscribed circle of a regular polygon is actually the vertical foot of the perpendicular bisector on the side of the regular polygon. First find one side. For the vertical bisector, click the [Line Segment Ruler Tool] on the sidebar to make a line segment that overlaps one side of the regular pentagon.

Click the left sidebar [Custom Tools] - Line Tool - to make the vertical bisector of the line segment. Use the mouse to click on the two endpoints of this side, and the vertical bisector will appear. Use the [Point Tool] to draw the vertical foot on the side, right-click on the vertical bisector, and select [Hide Vertical Line] to hide the vertical bisector.

Step 3: Create an inscribed circle

Click the [Move Arrow Tool] on the sidebar, select the center point and tangent point, and click [Construction] on the menu bar—— Draw a circle using the center and points on the circumference, so that the inscribed circle of the regular pentagon is created. The final effect is as shown in the figure.

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