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Exam-Style Questions on Mensuration Algebra

Problems on Mensuration Algebra adapted from questions set in previous exams.

1.

IGCSE Extended
Circle in Square Diagram

A circle is drawn inside a square so that it touches all four sides of the square.

(a) If the sides of the square are each \(k\) mm in length and the area of the red shaded region is \(A\) mm2 show that:

$$4A=4k^2-\pi k^2$$

(b) Make \(k\) the subject of the formula \(4A=4k^2-\pi k^2\)


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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