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SEAMO 2027 - Paper D - SET 01 - Self-study Question 15

SEAMO · SEAMO 2027 - Paper D - SET 01 - Self-study

Question 15

Squares $ABCD$ and $A_1B_1C_1D_1$ have side length $a$. Let $S$ and $S_1$ be the areas of the two red regions respectively. Which statement is true?

Interpret the curves as the quarter-circles indicated by the drawing: radius a at C in the first square, and radius a/2 at each corner of the second square, ending at side midpoints. Compare the actual red regions. The source worked solution has a colour-region mismatch.

Question illustration
  1. $S\lt S_1$
  2. $S=S_1$
  3. $S=1.2S_1$
  4. $S\gt S_1$
  5. Cannot be determined