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0580/33 May/Jun 2025, Question 18: Parts of a Circle

Cambridge IGCSE Mathematics 0580 · Paper 33 (Core) · Calculator · 2 marks

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The question, in short

Name the line CD joining two points on a circle, then draw triangle KLM with points on the circumference and angle KLM equal to 90°.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (a) · 1 mark

Give the mathematical name for the straight line CD joining points C and D on the circle.

  1. 1A straight line joining two points on a circle is a chord

AnswerChord

Part (b) · 1 mark

Draw triangle KLM with K, L, M on the circle so that angle KLM is 90°.

  1. 1Draw a diameter through O; its ends are K and M
  2. 2Put L anywhere else on the circumference and join KL, LM and KM
  3. 3Angle KLM = 90° (angle in a semicircle)

AnswerCorrect triangle drawn

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Also searched as: 0580/33/M/J/25 · 0580_s25_qp_33 · 0580 s25 33 · question 18.
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