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The length of a rope by which a cow must be tethered in order that she may be able to graze an area of 9856 sq.m is:________?

Correct answer: A. 56m

  • A. 56m
  • B. 64m
  • C. 88m
  • D. 168m

Explanation

The grazing area is a circle with area πr² = 9856 square metres. Using π = 22/7, r² = 9856 square metres × 7/22 = 3136 square metres, so r = 56 metres; the rope length equals this radius. The likely mistake is choosing 88 metres by confusing the radius with another circular measurement instead of solving for the rope length.

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Area measures the surface enclosed by two-dimensional figures, while volume measures the space occupied by three-dimensional solids. Problems use formulas for rectangles, triangles, circles, prisms, cylinders, cones, spheres, and composite figures, including unit conversion and the distinction between surface area, lateral area, and volume.

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