Dimensions of a circle
Task
Create an applet to explore the circumference and the area of a circle and which of the two variables is linearly dependent on the radius.
Also use check boxes to show and hide the functions.
Explore the construction...
Instructions
| 1. | 
| Create slider r with Interval 0 to 4 and Increment 0.01. |
| 2. |  | Create a circle with center A and radius r in the  Graphics View 2.
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| 3. |  | Create the functions and . |
| Hint: Click in the  Graphics View 1 before entering the function to create it in the Graphics View 1.
Hint: Enter pi into the Input Bar to use .
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| 4. |
| Create the Points Area = (r, a(r)) and Circumference = (r, b(r)).
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| 5. | 
| Turn on the trace for points Area and Circumference. Hint: Right-click (MacOS: Ctrl-click) the point and select Show Trace. |
| 6. | 
| Create two Check Boxes that show / hide the two functions a(r) and b(r).
Hint: Activate the Check Box tool and click in the  Graphics View to open the Check Box Dialog. Insert a Check Box with the Caption Area(r) and one with Circumference(r) to show / hide the graphs of a(r) and b(r) by selecting them from the drop down menu below the Caption text field.
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| 7. |  | Enhance your construction using the Style Bar. |
| 8. | 
| Zoom Out to show a larger part of the functions. |
| 9. | 
| Select the Move Graphics View tool and drag the background of the Graphics View 1.
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