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Exam-Style Question on Circle

A mathematics exam-style question with a worked solution that can be revealed gradually

List Of Questions Exam-Style Question More Circle Questions More on this Topic

Question id: 415. This question is similar to one that appeared on an IB Standard paper in 2003. The use of a calculator is allowed.

The diagram below shows an isosceles right-angled triangle and two arcs of circles. The larger arc is part of a circle with its centre at D and the smaller arc is part of a circle with its centre at A.

The right-angled triangle has two sides of length 10cm.

The point D is the midpoint of BC.

Two segments and a triangle

(a) Calculate the area of the red segment.

(b) Calculate the area of the yellow region.

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Example

Dent

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If you need more practice try the self-checking interactive exercises called Circles.

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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