AQA · Mathematics · 8300
GCSE Maths: Circle theorems – examples
Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Circle theorems – examples (Corbettmaths Video 65), and every card links back to the exact page it came from. Practice tests generate fresh variations of these questions, so the numbers change every attempt. Source material © Corbettmaths — used with attribution.
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What is the relationship between an angle at the centre and an angle at the circumference that subtend the same arc?
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The angle at the centre is twice the angle at the circumference.
What is the angle in a semicircle?
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90°. Any angle subtended by a diameter at the circumference is a right angle.
What do opposite angles in a cyclic quadrilateral add up to?
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180°. Opposite angles in a cyclic quadrilateral are supplementary.
What is the angle between a tangent and a radius at the point of contact?
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90°. A tangent to a circle is perpendicular to the radius at the point of contact.
What is true about the lengths of two tangents drawn from the same external point to a circle?
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They are equal. Two tangents from an external point to a circle have the same length.
What is the relationship between angles in the same segment of a circle?
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Angles in the same segment are equal. Angles subtended by the same arc at the circumference are equal.
What is the alternate segment theorem?
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The angle between a tangent and a chord equals the angle in the alternate segment.
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