Before an engineering tender for construction of e.g., a road is given, it is a must that the engineering company works out not only the surface area of the work but also the volume of materials for the earthworks (i.e., to be removed or borrowed). Mine engineers will want to know the volumes of their stockpiles whereas the surveyors will want to know the areas of land parcels to which titles are to be granted. In all these examples, sufficient skills in areas and volume computations is a must. This chapter divides the working area into two; regular (i.e., those figures of regular shapes such as triangles, squares, rectangles etc.) and irregular (i.e., those areas that do not take on the commonly known shapes) and shows you various means of computing the areas.

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Areas of Regular and Rectilinear Figures

  • John Walker,
  • Joseph Awange

摘要

Before an engineering tender for construction of e.g., a road is given, it is a must that the engineering company works out not only the surface area of the work but also the volume of materials for the earthworks (i.e., to be removed or borrowed). Mine engineers will want to know the volumes of their stockpiles whereas the surveyors will want to know the areas of land parcels to which titles are to be granted. In all these examples, sufficient skills in areas and volume computations is a must. This chapter divides the working area into two; regular (i.e., those figures of regular shapes such as triangles, squares, rectangles etc.) and irregular (i.e., those areas that do not take on the commonly known shapes) and shows you various means of computing the areas.