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Detailed steps for constructing arcs on circles using Geometry Sketchpad

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2024-04-17 11:46:04484browse

Step 1 Draw a circle. The arc on the circle is constructed based on the circle, so the circle must be constructed first. Select the [Circle Tool] on the left sidebar, click the mouse in the drawing board working area to determine the center of the circle, drag the mouse to the appropriate position and click again to draw a circle O as shown in the picture.

Detailed steps for constructing arcs on circles using Geometry Sketchpad

Step 2 Construct an arc on the circle

1. Draw two points A and B on the circle. Select the [Point Tool] on the left sidebar, click twice anywhere on the circle, and draw points A and B.

Detailed steps for constructing arcs on circles using Geometry Sketchpad

2. Execute the arc command on the circle. An arc whose center angle corresponding to an arc is less than 180 degrees is called a minor arc. If you want to construct a minor arc, you need to select points B, A and circle O in order in the counterclockwise direction, and execute [Construction] - [On Circle] Arc] command,

Detailed steps for constructing arcs on circles using Geometry Sketchpad

3. Construct a bad arc. After performing the above operations, the minor arc AB can be automatically constructed on the circle O,

Detailed steps for constructing arcs on circles using Geometry Sketchpad

4. Construct the superior arc. An arc whose center angle corresponding to an arc is greater than 180 degrees is called a superior arc. If you want to construct a superior arc, you need to select points A, B and circle O in clockwise direction, and execute [Construction] - [On Circle] arc] command, you can construct the superior arc AB.

Detailed steps for constructing arcs on circles using Geometry Sketchpad

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