Circle theorems (OCR GCSE Maths): Quizzes

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Circle theorems
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12 questions from this quiz

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What is the relationship between the diameter and radius of a circle?

Diameter is twice the radius

At how many points does a tangent touch a circle?

Exactly one point

If the angle at the circumference is 30°30°, what is the angle at the centre from the same arc?

60°60°

What is the angle at the circumference in a semi-circle?

90°90°

Two angles subtended by the same chord in the same segment are:

Equal

In a cyclic quadrilateral, opposite angles add up to:

180°180°

What angle is formed between a tangent and radius at the point of contact?

90°90°

The angle between a tangent and chord equals the angle in which segment?

The alternate segment

Two tangents drawn from an external point to a circle are:

Equal in length

If the angle at the circumference is 45°45°, what is the angle at the centre?

90°90°

What is the sum of all interior angles in a cyclic quadrilateral?

360°360°

In a triangle where one side is the diameter, what can we say about the opposite angle?

It is 90°90°

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