When calculating angles using a circle theorem, always state which theorem applies. It may not be possible to calculate the missing angle immediately. It may be necessary to calculate another ...

Using the circle theorem, the angle at the centre is twice the angle at the circumference. Angle MNQ = \(x\) and angle MPQ = \(x\). Therefore angle MNQ = angle MPQ.

Hawkins’ first theorem was suggested by a triplet of ... of the outer circle and the inscribed circle is 4:3. For Hawkins, it was a matter of first recognizing a significant geometric ...

Mathematicians at Monash University have cracked a centuries-old puzzle dating back to the 17th century, extending Descartes’ Circle Theorem into a bold new territory. Using advanced ...