Circle Theorems
In this section we are going to look at Circle Theorems, and other properties of circles.
Explore how these two angles are related in a circle.

Learn about how these angles are related.

Angles in a Semicircle (AGG/GGB)

Investigate what angles you get when you have a triangle in a circle, where one of the edges is a diameter.

Learn about the angle in a semicircle.

Angles in Cyclic Quadrilaterals (AGG/GGB)

Investigate the angles of a Cyclic Quadrilateral (a quadrilateral whose vertices lie on the circumference of a circle).

Learn about the relationship between angles in cyclic quadrilaterals.

Angles in the Same Segment (AGG/GGB)

Investigate how angles that are in the same segment of a circle are related.

Learn about how angles in the same segment (or subtended by the same chord) are related.

Tangents (AGG/GGB)

Investigate what a tangent is, and how it is related to a circle.

Tangents (Video)

Learn what a tangent is, and how it relates to the radius of a circle.

Investigate what is meant by the Alternate Segment Theorem, and what it tells us about the angles within a triangle in a circle.

Intersecting Tangents (AGG/GGB)

Investigate the relationship between lengths of intersecting tangents.

Intersecting Tangents (Video)

Learn about what happens when two tangents intersect.

Intersecting Chords (GGB)

Investigate the relationship between different lengths of intersecting chords.

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