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PIMSO 2025 - Mathematics - Secondary 3 - National Round Question 22

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

Question 22

James plans to decorate his garden with flower. A circular fountain has the equation $x^2+y^2-24x-32y+175=0$ and flowers are planted in a 2 units wide ring around the fountain. Find the difference between fountain area and flower area in term of $\pi$? (circle in standard form $(x-h)^2+(y-k)^2=r^2$, r = radius)
  1. $161\pi$ square units
  2. $169\pi$ square units
  3. $256\pi$ square units
  4. $289\pi$ square units