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AMO · 2027 · Grades 6-7 · Self-study SET 31 Question 2

AMO

Question 2

A circle of radius 14 cm and a circle of radius 21 cm overlap in the crosshatched region shown. The overlap has area $580\text{ cm}^2$. What is half the total area, in $\text{cm}^2$, of the two regions without crosshatching? Use $\pi=\frac{22}{7}$.

Question illustration

**Input:** Enter the integer only, without units.