Construct a circle with a central and an inscribed angle.[br][br]Explore the construction and learn how to create such a construction with [url=https://www.geogebra.org/geometry]GeoGebra Geometry[/url]. Then try it yourself by following the instructions below.

[b]Note:[/b] If you're using the Mobile App make sure that the chosen [i]Labeling[/i] option is [i]New Points Only[/i]. You can change this by going to the [i]Settings [/i]in the app's menu and then selecting [i]General.[/i][br][table][tr][td]1.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_circle2.png[/icon][/td][td]Create a circle using the [i]Circle with Center[/i] tool.[/td][/tr][tr][td]2.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_point.png[/icon][/td][td]Create the points [i]C[/i], [i]D[/i] and [i]E[/i] on the outline of the circle using the [i]Point[/i] tool.[/td][/tr][tr][td]3.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_segment.png[/icon][/td][td]Select the [i]Segment[/i] tool and create the segments [i]CD[/i], [i]DE[/i], [i]EA[/i] and [i]AC[/i].[/td][/tr][tr][td]4.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_angle.png[/icon][/td][td]Select the [i]Angle[/i] tool and select the points [i]E[/i], [i]A[/i] and [i]C[/i] in this order to create the central angle.[/td][/tr][tr][td]5.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_showhidelabel.png[/icon][/td][td]Select the created angle using the [i]Move[/i] tool and rename it to [i]central[/i].[br][b]Note:[/b] In the Mobile App select the [i]More [/i]button to rename the angle to [i]central[/i].[/td][/tr][tr][td]6.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_angle.png[/icon][/td][td]Select the [i]Angle[/i] tool and select the points [i]E[/i], [i]D[/i] and [i]C[/i] in this order to create the inscribed angle.[/td][/tr][tr][td]7.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_showhidelabel.png[/icon][/td][td]Select the created angle and rename it to [i]inscribed[/i].[br][b]Hint:[/b] Use the [i]Move[/i] tool.[/td][/tr][tr][td]8.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_move.png[/icon][/td][td]Select the [i]Move[/i] tool and drag the vertices to explore your construction.[/td][/tr][/table]