63 Circle Theorem 1 states that the angle P2 2 P1 for stating Theorem 1 H at the centre of a circle is twice the P1 for extending this to this proof angle at the circumference when they are both subtended by the same arc. Theorem 1 tells you that any angle C1 C1 for clear overall explanation and clarity subtended from arc AB at a point C on the circumference is always half the angle subtended from arc AB at the centre. C1 C1 for use of diagram and mathematical language Therefore, every possible angle subtended from arc AB at the circumference will correspond to the same angle at the centre. Hence all the angles subtended at the circumference will be equal. 4
63 Circle Theorem 1 states that the angle at the centre of a circle is twice the angle at the circumference when they are both subtended by the same arc. Theorem 1 tells you that any angle subtended from arc AB at a point C on the circumference is always half the angle subtended from arc AB at the centre. Therefore, every possible angle subtended from arc AB at the circumference will correspond to the same angle at the centre. Hence all the angles subtended at the circumference will be equal. P2 C1 C1 2 P1 for stating Theorem 1 P1 for extending this to this proof C1 for clear overall explanation and clarity C1 for use of diagram and mathematical language H 4