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.[br]Also use check boxes to show and hide the functions.

[table][tr][td]1.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_slider.png[/icon][br][/td][td]Create slider r with [i]Interval[/i] 0 to 4 and [i]Increment[/i] 0.01.[br][/td][/tr][tr][td]2.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_circlepointradius.png[/icon][/td][td]Create a circle[i] [/i]with center [i]A[/i] and radius [i]r [/i]in the [img]https://wiki.geogebra.org/uploads/thumb/b/bf/Menu_view_graphics2.svg/16px-Menu_view_graphics2.svg.png[/img] [i]Graphics View 2.[/i][br][/td][/tr][tr][td]3.[/td][td][icon]https://wiki.geogebra.org/uploads/thumb/4/40/Menu_view_algebra.svg/120px-Menu_view_algebra.svg.png[/icon][/td][td]Create the functions [math]a\left(r\right)=r^2\cdot\pi[/math] and [math]b\left(r\right)=2\cdot r\cdot\pi[/math][i].[/i][/td][/tr][tr][td][br][/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_move.png[/icon][br][/td][td][b]Hint:[/b] Click in the [img]https://wiki.geogebra.org/uploads/thumb/2/2c/Menu_view_graphics1.svg/16px-Menu_view_graphics1.svg.png[/img] [i]Graphics View 1[/i] before entering the function to create it in the [img]https://wiki.geogebra.org/uploads/thumb/2/2c/Menu_view_graphics1.svg/16px-Menu_view_graphics1.svg.png[/img] [i]Graphics View 1.[/i][br][b]Hint:[/b] Enter [code]pi[/code] into the [i]Input Bar [/i]to use [math]\pi[/math].[br][/td][/tr][tr][td][br][/td][td][br][/td][/tr][tr][td]4.[/td][td][icon]https://wiki.geogebra.org/uploads/thumb/4/40/Menu_view_algebra.svg/120px-Menu_view_algebra.svg.png[/icon][br][/td][td]Create the Points [code]Area = (r, a(r))[/code] and [code]Circumference = (r, b(r))[/code].[br][/td][/tr][tr][td]5.[/td][td][icon]https://wiki.geogebra.org/uploads/thumb/e/e2/Menu-trace-on.svg/480px-Menu-trace-on.svg.png[/icon][br][/td][td]Turn on the trace for points [i]Area[/i] and [i]Circumference[/i]. [br][b]Hint:[/b] Right-click (MacOS: Ctrl-click) the point and select [i]Show Trace[/i]. [br][/td][/tr][tr][td]6.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_showcheckbox.png[/icon][br][/td][td]Create two [i]Check Boxes[/i] that show / hide the two functions [i]a(r)[/i] and [i]b(r)[/i]. [br][b]Hint: [/b]Activate the [i]Check Box[/i] tool and click in the [img]https://wiki.geogebra.org/uploads/thumb/c/c8/Menu_view_graphics.svg/16px-Menu_view_graphics.svg.png[/img] [i]Graphics View[/i] to open the [i]Check Box Dialog[/i]. Insert a [i]Check Box[/i] with the Caption[i] Area(r)[/i] and one with [i]Circumference(r)[/i] to show / hide the graphs of [i]a(r)[/i] and [i]b(r)[/i] by selecting them from the drop down menu below the [i]Caption [/i]text field.[br][/td][/tr][tr][td]7.[/td][td][img]https://wiki.geogebra.org/uploads/thumb/d/db/Stylingbar_icon_graphics.svg/32px-Stylingbar_icon_graphics.svg.png[/img][/td][td]Enhance your construction using the [i]Style Bar[/i].[br][/td][/tr][tr][td]8.[br][/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_zoomout.png[/icon][br][/td][td][size=100][i]Zoom Out[/i] to show a larger part of the functions.[/size][br][/td][/tr][tr][td]9.[br][/td][td][icon]/images/ggb/toolbar/mode_translateview.png[/icon][br][/td][td][size=100]Select the [i]Move Graphics View[/i] tool and drag the background of the [img]https://wiki.geogebra.org/uploads/thumb/2/2c/Menu_view_graphics1.svg/16px-Menu_view_graphics1.svg.png[/img] [i]Graphics View 1[/i]. [/size][br][/td][/tr][/table]