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A sector has radius 14 cm and its arc is 11 cm long. Find the area of the sector in .

Competition practiceAreas & Volumes
  • A154
  • B616
  • C39
  • D77

Step-by-Step Solution

For any sector, area = ½ × arc × radius = ½ × — no value of π is needed. (Multiplying arc by radius without halving gives ; 39 cm is the sector's perimeter, 11 + 14 + 14, which is a length and not an area; , taking π = 22/7, is the whole circle.)
Answer: D) 77

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