0580/12 Oct/Nov 2025, Question 24: Tangent Properties of a Circle
Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Non-calculator · 1 mark
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
A tangent ABC touches a circle centre O at B, with O joined to A and B and angle OAB = 36°. Find angle AOB.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 1 mark
- 1Angle OBA = 90° (tangent ⟂ radius)
- 2Angle AOB = 180 − 90 − 36 = 54°
Answer54
Stuck on a step? Read the free lesson: Tangent Properties of a Circle
Practise more tangent properties of a circle questions
Real 0580 past-paper questions, marked on your working like the exam, with a worked solution for every part.
Practise free on LemmaraMore past-paper questions on tangent properties of a circle
Also searched as: 0580/12/O/N/25 · 0580_w25_qp_12 · 0580 w25 12 · question 24.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.