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Angles and circles

Angles and circles

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The angle subtended at the centre of a circle is twice the angle subtended at the circumference.

Angle at the centre of the circle

The angle at the circumference of a semicircle is 90Β°.

Angles subtended by a semicircle

Angles in the same segment are equal.

Angles in the same segment

The sum of opposite angles in a cyclic quadrilateral is 180Β°.

Angles in cyclic quadrilaterals

A tangent to a circle is always perpendicular to the radius of that circle.

Tangents and radii

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