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Exam-Style Questions.

Problems adapted from questions set for previous Mathematics exams.

1.

IB Standard

The following diagram shows a circle with centre O and radius 9 cm.

The points A, B and C lie on the circumference of the circle, and AÔC = 1.2 radians.

(a) Find the length of the arc ABC.

(b) Find the perimeter of the minor sector OAC.

(c) Find the area of the minor sector OAC.


2.

IB Analysis and Approaches

The following diagram shows part of a circle with centre O and radius 10cm.

Chord PQ has a length of 12cm and angle PÔQ = ?.

(a) Find the value of ?, giving your answer in radians.

(b) Find the area of the sector shaded green.

Sector

The exam-style questions appearing on this site are based on those set in previous examinations (or sample assessment papers for future examinations) by the major examination boards. The wording, diagrams and figures used in these questions have been changed from the originals so that students can have fresh, relevant problem solving practice even if they have previously worked through the related exam paper.

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