IGCSEMathsEdexcelMaths A (Modular)Foundation Unit 1Exam QuestionsShape, Space & MeasureCircles

Circles (Edexcel IGCSE Maths A (Modular): Foundation Unit 1): Exam Questions

Exam code: 4XMAF/4XMAH

9 mins3 questions

3 marks

The diagram shows a shaded shape made from three identical semicircle, $X$ , $Y$ and $Z$

Diagram with two semicircles on a line AE, touching at Y, marked B to D. Semicircles labelled X and Z. "Diagram NOT accurately drawn" noted.

$A B C D E$ is a straight line.

$A C$ is the diameter of semicircle $X$ and $B$ is the centre of semicircle $X$
$B D$ is the diameter of semicircle $Y$ and $C$ is the centre of semicircle $Y$
$C E$ is the diameter of semicircle $Z$ and $D$ is the centre of semicircle $Z$

$A C = B D = C E = 20 cm$

Work out the perimeter of the shaded shape.
Give your answer correct to the nearest whole number.

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