Study notes
Circle Properties
Angle properties of circles: semicircle, centre vs circumference, same segment, cyclic quadrilaterals, and tangents.
What this topic covers
- The angle in a semicircle is 90 degrees
- The angle at the centre is twice the angle at the circumference, on the same arc
- Angles in the same segment are equal
- Opposite angles of a cyclic quadrilateral sum to 180 degrees
- A tangent is perpendicular to the radius at the point of contact
- Two tangents from the same external point are equal in length
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