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AMO 2027 Grades 6-7 SET 17 - Self-study Question 10

AMO · AMO 2027 Grades 6-7 SET 17 - Self-study

Question 10

In the figure below, PSR, RTQ and PAQ are three semicircles of diameters 10 cm, 3 cm and 7 cm respectively. Find the area of the shaded region.

**Editorial note for this self-study exercise:** Keep the area exact: write it as $c\pi$ cm² and enter only the coefficient c, using a number or a fraction a/b. Use a decimal point if entering a decimal. Do not replace pi by a decimal approximation.

Question illustration