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FMO 2026 - Grade 8 - International - Paper 05 Question 14

FMO · FMO 2026 - Grade 8 - International - Paper 05

Question 14

Isabelle placed a rectangular paper ABCD on the circle of radius 5 cm with center O so that point O lies on the line segment CD. AB cuts the circle at E and CD cuts the circle at F. Given that EB = 6 cm and DF = 7 cm, find the area of the rectangle ABCD.

Question illustration



Editorial reading of the figure: B lies on the circumference as drawn, so EB is a chord. This extra incidence is needed; the words alone do not explicitly state it.
  1. 60 cm²
  2. 42 cm²
  3. 48 cm²
  4. 56 cm²
  5. 52 cm²