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PIMSO 2025 - Mathematics - Secondary 3 - National Round Question 16

PIMSO Maths · PIMSO 2025 - Mathematics - Secondary 3 - National Round

Question 16

In the figure below, the arcs PMS and HIR are portions of concentric circles with center at O. Central angles HIO and IOR are 15° and 30°, respectively. Arc HI is $\frac{3\pi}{4}$ m. The ratio of radius OS to OR is 4:3. Find the area of the shaded region. Use $\pi=\frac{22}{7}$.

Question illustration
  1. 8.25 m²
  2. 16.5 m²
  3. 33 m²
  4. 66 m²