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A circular park has an area of 3850 square metres. What is the cost of fencing it along its boundary at ₹28 per metre? (Use π = 22/7.)

Competition practiceMensuration
  • A₹3080
  • B₹107800
  • C₹6160
  • D₹12320

Step-by-Step Solution

π gives , so m. Fencing runs along the circumference = m, and = ₹6160. ₹3080 uses π m, dropping the 2 of 2π; ₹12320 fences a circle of radius 70 m, the diameter mistaken for the radius; ₹107800 charges the per-metre rate on the 3850 sq m of area instead of on the boundary length.
Answer: C) ₹6160

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