Central and inscribed angles
Task
Construct a circle with a central and an inscribed angle.
Explore the construction and learn how to create such a construction with GeoGebra Geometry. Then try it yourself by following the instructions below.
Explore the construction...
Instructions
Note: If you're using the Mobile App make sure that the chosen Labeling option is New Points Only. You can change this by going to the Settings in the app's menu and then selecting General.
| 1. |  | Create a circle using the Circle with Center tool. |
| 2. |  | Create the points C, D and E on the outline of the circle using the Point tool. |
| 3. |  | Select the Segment tool and create the segments CD, DE, EA and AC. |
| 4. |  | Select the Angle tool and select the points E, A and C in this order to create the central angle. |
| 5. |  | Select the created angle using the Move tool and rename it to central. Note: In the Mobile App select the More button to rename the angle to central. |
| 6. | | Select the Angle tool and select the points E, D and C in this order to create the inscribed angle. |
| 7. | | Select the created angle and rename it to inscribed. Hint: Use the Move tool. |
| 8. |  | Select the Move tool and drag the vertices to explore your construction. |