AQA · Mathematics · 8300
GCSE Maths: Circle theorems proof: angles at circumference\centre
Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise for Circle theorems proof: angles at circumference\centre (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 angle in a semi-circle?
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Always 90°.
What is the relationship between the angle at the centre and the angle at the circumference subtending the same arc?
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The angle at the centre is twice the angle at the circumference.
What is true of angles in the same segment of a circle?
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They are equal.
What do opposite angles in a cyclic quadrilateral add up to?
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180°.
What is the angle between a tangent and a radius at the point of contact?
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Always 90°.
According to the alternate segment theorem, what is the angle between a tangent and a chord equal to?
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The angle in the alternate segment.
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