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A level: Circle Theorems

Physics8 CardsCreated 4 months ago

This flashcard set explains key circle theorems using memorable visual cues such as “arrowhead,” “butterfly,” and “wheel on a flat surface.” Each card links a geometric figure to its corresponding theorem, making it easier to understand and recall important angle and segment properties within and around circles—ideal for GCSE and high school geometry revision.

Arrowhead

The angle subtended at the centre of the circle is double the size of the angle at the circumference from the same points.

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Key Terms

Term
Definition

Arrowhead

The angle subtended at the centre of the circle is double the size of the angle at the circumference from the same points.

Butterfly

Angles in the same segment of a circle are equal

Wheel on a flat surface

The angle between the tangent and radius is 90 degrees

Diameter triangle

The inscribed angle in a semicircle is 90 degrees

Rectangle

Opposite angles in a cyclic quadrilateral add up to 180 degrees

Triangle in circle on flat surface

Alternate segment theorem

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TermDefinition

Arrowhead

The angle subtended at the centre of the circle is double the size of the angle at the circumference from the same points.

Butterfly

Angles in the same segment of a circle are equal

Wheel on a flat surface

The angle between the tangent and radius is 90 degrees

Diameter triangle

The inscribed angle in a semicircle is 90 degrees

Rectangle

Opposite angles in a cyclic quadrilateral add up to 180 degrees

Triangle in circle on flat surface

Alternate segment theorem

Arrow from circumference of circle

Tangents from a point outside the circle are equal in length

From centre triangle

The perpendicular from the centre to the chord bisects the chord