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SEAMO 2027 - Paper C - SET 02 - Self-study Question 1

SEAMO · SEAMO 2027 - Paper C - SET 02 - Self-study

Question 1

SEAMO self-study edition 2027; not an official 2027 paper. Original source years are retained. 25 questions, 90 minutes; Q1–10: 3 points, Q11–20: 4 points, Q21–25: 6 points, total 100. Original response types and all subparts are preserved. Verified is an editorial convention; source defects, necessary assumptions and unresolved mathematical uncertainty are disclosed.

Two circles have the same centre and different radii. The shaded region has area $25\text{ cm}^2$. Find the difference between the areas of the two circles, in $\text{cm}^2$. Take $\pi=3.14$.

Diagram interpretation: the horizontal and vertical radii are perpendicular, and the shaded region lies between the two chords joining their endpoints.

Question illustration