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AMO 2027 Grades 6-7 SET 21 - Self-study Question 1

AMO · AMO 2027 Grades 6-7 SET 21 - Self-study

Question 1

The area of the shaded region is equal to $\frac17$ of the area of the big circle and is equal to $\frac15$ of the area of the small circle. The difference between the area of the big circle and the small circle is 18cm². What is the area of the small circle?


A. 36cm²

B. 72cm²

C. 90cm²

D. 126cm²

E. None of the above

**Editorial note for this self-study exercise:** Enter the numerical area in cm², without a unit or choice letter. The shaded region is the overlap shown in the original figure.

Question illustration