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The perimeter of circle field and a square field are equal. If the area of these square field is 12100m2, the area of a circular field will be_________?

Correct answer: B. 15400Sq.m

  • A. 15500Sq.m
  • B. 15400Sq.m
  • C. 15200Sq.m
  • D. 15300Sq.m

Explanation

The square side is √12100 m² = 110 m, so its perimeter is 4 × 110 m = 440 m. The circle has circumference 440 m, hence radius = 440 m ÷ (2 × 22/7) = 70 m and area = 22/7 × 70 m × 70 m = 15400 m². The likely trap is 15500 m², caused by inaccurate handling of pi or rounding.

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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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