The Locomotive . quare of the diameter of the circle by the decimal (which is one-half of ). In either case we find that the area of the semi-circle is sq. in.; and, taking the area of the rectangle away from this,we have — — sq. in., which is the area of the segment inquestion, as calculated by this approximate method. The true area of thissegment is Ml- hi., so that the error due to the approximation here adoptedis, in the present case, sq. in., or per cent, of the total area of the seg-ment. The foregoing process may be formulated, for co
The Locomotive . quare of the diameter of the circle by the decimal (which is one-half of ). In either case we find that the area of the semi-circle is sq. in.; and, taking the area of the rectangle away from this,we have — — sq. in., which is the area of the segment inquestion, as calculated by this approximate method. The true area of thissegment is Ml- hi., so that the error due to the approximation here adoptedis, in the present case, sq. in., or per cent, of the total area of the seg-ment. The foregoing process may be formulated, for convenience of reference,as follows: Rule 4. Subtract the height of the given segment from the radius of thecircle, and multiply the result by the diameter of the circle. The product sofound is to be subtracted from the area of the semi-circle of which the segmentforms a part, and the remainder is the approximate area of the segment. (Thisrule gives approximate results only when the strip shown shaded in Fig. 4.
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Keywords: ., bookauthorhartfordsteamboilerin, bookcentury1800, bookdecade1860
