Circle Theorems

Circle Theorems Quiz

Spec 4.6 · Edexcel IGCSE Maths: Quiz

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5 questions, one answer each

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  1. 1. A triangle is inscribed in a circle with one side passing through the centre as a diameter. What is the angle at the third vertex?

    • A. 45°
    • B. 60°
    • C. 90°
    • D. 180°

  2. 2. The angle at the circumference subtended by an arc is 38°. What is the angle at the centre subtended by the same arc?

    • A. 19°
    • B. 38°
    • C. 76°
    • D. 142°

  3. 3. In a cyclic quadrilateral ABCD, angle A = 72°. What is angle C (the angle opposite A)?

    • A. 18°
    • B. 72°
    • C. 108°
    • D. 144°

  4. 4. A tangent meets a chord at the point of contact, forming a tangent-chord angle of 47°. According to the alternate segment theorem, what is the angle in the alternate segment subtended by the same chord?

    • A. 43°
    • B. 47°
    • C. 90°
    • D. 94°

  5. 5. Two tangents are drawn from an external point P to a circle with centre O, touching at points A and B. If angle APB = 40°, what is angle AOB (the angle at the centre between the two radii)?

    • A. 40°
    • B. 70°
    • C. 140°
    • D. 160°

Quiz