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AMO 2027 Grades 6-7 SET 22 - Self-study Question 9

AMO · AMO 2027 Grades 6-7 SET 22 - Self-study

Question 9

The figure below is made up of a quadrant ABG, a rectangle BCEG and an isosceles triangle CDE. Find the total area of the shaded part.

Question illustration

**Editorial note for this self-study exercise:** Use the geometry marked in the figure: A, B, C, D are collinear in that order; G, F, E are collinear; the quadrant has centre B; CE=CD=21 cm; AD=64 cm. Give the exact shaded area as aπ+b square centimetres. Enter a;b using reduced fractions and no spaces, for example 3/2;5/4. Do not replace π by a decimal or 22/7.