It is dynamic applet in GGB. It shows that inscribe angle theorem in circle. It means, the angle at circumference is half of central angle that subtends by the same arc. The angle dose not change as it's vertices is move to different position on the circle.[br]
To find out measure of inscribed angle is half of the measure of the intercepted arc .
In the GGB applet given below[br]click A or B or C [br]Rotate point A or B or C to change the measure of central angle[math]\angle[/math]BOA and inscribe angle [math]\angle[/math]BCA. Drag any point of circle & observe Relation between central angle and angle at circumference . while dragging the point of circle , observe if these angle can be half or not also click start then check your understanding.[br]Study this animation what did you notice ?[br]
Tick the best answer.[br]If x be the central angle of a circle, then which of the following is angle of circunference ?
Open GGB applet .[br]Choose circle tool.[br]Then click circle with center through given point.[br]construct circle [br]Again go to circle tool then we choose circular arc or circular sector [br]Go to point tool choose point then take two points on circumference [br]Click origin then click A drag with point B also change colour ,line style ,font ...[br]again choose circular arc then drag B to A. Take another point C.[br]Draw [math]\angle[/math]AOB and [math]\angle[/math]BCA with the help of line segment. [br]Choose angle tool and replace angles.