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SASMO 2022 Grade 10 Question 8

SASMO · SASMO 2022 Grade 10

Question 8

In the diagram, square $ABCD$ is inscribed in a circle. Its diagonals intersect at $O$. Points $E,F,G,H$ are the midpoints of $AO,BO,CO,DO$, respectively. What fraction of the area of the circle is the shaded area?

Question illustration
  1. $\frac{3}{4\pi}$
  2. $\frac{1}{4\pi}$
  3. $\frac{1}{2\pi}$
  4. $\frac{3}{2\pi}$
  5. None of the above