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AMO 2027 Grades 6-7 SET 18 - Self-study Question 12

AMO · AMO 2027 Grades 6-7 SET 18 - Self-study

Question 12

Find the perimeter and area of the shaded figure below which made up of different circles.

**Editorial note for this self-study exercise:** The scan has no clear shading. Use the region inside the large semicircle and outside the three smaller semicircles, whose diameters lie end-to-end on the same 56 cm segment; the end diameters are 14 cm each. Keep π exact. Write P = aπ cm and A = bπ cm². Enter a then b separated by a semicolon, with no spaces, for example 12;34. Only outside whitespace and letter case are ignored; spaces adjacent to punctuation are not removed.

Question illustration