Circle Properties Activity 3

Instructions:[br]In the diagram below, [i]OA[/i] and [i]OC[/i] are radii of the circle. [i]AB[/i] and [i]BC[/i] are chords in the circle.[br]Angles [i]AOC[/i] and [i]ABC[/i] are subtended by the arc [i]AC[/i]. [br]Move points [i]A[/i], [i]B[/i] and [i]C[/i] around such that the values of the angles change.

What do you observe?

Angle AOC = 2 (Angle ABC) Angle AOC = Angle ABC Angle AOC = 4 (Angle ABC) Angle AOC = 3 (Angle ABC)

What can you conclude?

The angle at the centre is the same as the angle at the circumference The angle at the centre is twice the angle at the circumference The angle at the centre is half the angle at the circumference.

Information: Circle Properties Activity 3