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The largest possible circle is cut from a square sheet of side 28 cm. What is the area of the leftover sheet, in square cm? (Use π = 22/7.)

Competition practiceMensuration
  • A168
  • B616
  • C784
  • D696

Step-by-Step Solution

The largest circle has diameter 28 cm, so cm and its area = sq cm. The sheet is sq cm, so the leftover = 784 - 616 = 168 sq cm. The trap 616 reports the piece cut out rather than what remains; 784 is the whole sheet; 696 subtracts the circle's CIRCUMFERENCE of 88 cm instead of its area, mixing a length into an area.
Answer: A) 168

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