CourseCourseConceptConceptDocsDocuments

CAIE A-Level Mathematics AS 1.4.2 Arc Length and Sector Area Questions

Practise vector geometry 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 1.4.2 Arc Length and Sector Area Questions question 1

[Maximum number: 2]
Figure for Question CAIE A-Level Mathematics AS 1.4.2 Arc Length and Sector Area Questions question 1 — CAIE A-Level Mathematics AS

The diagram shows a sector of a circle with centre O and radius r cmr \mathrm{~cm}. The shaded region is bounded by the chord AB and the arc⁡AB\operatorname{arc} A B. The size of angle AOB is 23π\frac{2}{3} \pi radians.

Show that the area of the shaded region is approximately 0.614r2 cm20.614 r^{2} \mathrm{~cm}^{2}.

It is given that the radius of the circle is increasing at a rate of 0.4 cm s−10.4 \mathrm{~cm} \mathrm{~s}^{-1}.

All question bank results loaded