0580/41 Oct/Nov 2025, Question 15: Tangent Properties of a Circle
Cambridge IGCSE Mathematics 0580 · Paper 41 (Extended) · Calculator · 3 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
Circle with centre O, points A, B, C on it, angle ACB = 67°, tangents at A and B meet at T. Calculate angle ATB.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 3 marks
- 1Angle AOB = 2 × 67 = 134° (angle at centre is twice the angle at the circumference)
- 2Angles OAT = OBT = 90° (tangent meets radius at 90°)
- 3Angle ATB = 360 − 90 − 90 − 134 = 46°
Answer46
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: 0580/41/O/N/25 · 0580_w25_qp_41 · 0580 w25 41 · question 15.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.