CAIE A-Level Mathematics AS 1.4.1 Radians Questions

Practise vector methods and calculations within the AS mathematics syllabus.

Syllabus
2028–2030
Course
Mathematics 9709
Level
AS

Exam points

  • use vector notation and operations
  • solve geometric problems with vectors
  • interpret vector relationships

CAIE A-Level Mathematics AS 1.4.1 Radians Questions question 1

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Figure for Question CAIE A-Level Mathematics AS 1.4.1 Radians Questions question 1 — CAIE A-Level Mathematics AS

The diagram shows a motif formed by the major arc A B of a circle with radius r and centre O, and the minor arcAOB\operatorname{arc} A O B of a circle, also with radius r but with centre C. The point C lies on the circle with centre O.

Given that angle ACB=kπA C B=k \pi radians, state the value of the fraction k.

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