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Circle Theorems

\angle AOB = 2 \times \angle APB

Angle at centre (∠AOB)100°

Angle at circumference (∠APB)50°

Centre ÷ circumference2.00 ×

Angle at centre ∠AOB100 °

Move P around the arc0.5

Set the angle at the centre (∠AOB) to 100°
Now make the angle at the circumference (∠APB) exactly 45°
Make AB a diameter so P sits in a semicircle — get ∠APB to 90°
Set ∠AOB to 140° — confirm ∠APB then reads 70°
Get the angle at the circumference to 60° (so the centre is 120°)