he perimeter of a circle and a square field are equal. What is the diameter of the circle field if the area of the square field is 484 sq.m?
Correct answer: C. 28m
- A. 14m
- B. 21m
- C. 28m
- D. None of these
Explanation
A square of area 484 m² has side 22 m, so its perimeter is 88 m. The circle therefore has circumference 88 m, and its diameter is circumference ÷ pi = 88 m ÷ (22/7) = 28 m. The likely mistake is 14 m, which is the circle's radius, not its diameter.
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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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