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<br />Exhibit A <br />Example: Non-Uniform Round <br />Length of each offset line: <br />B = 10 ft <br />I = 15 ft <br />E = 12 ft <br />L = 8 ft <br />H = 10 ft <br />O = 10 ft <br />K = 9 ft <br />D = 10 ft <br />N = 16 ft <br />G = 13 ft <br />Q = 9 ft <br />J = 17 ft M = 15 ft <br />C = 15 ft F= 15 ft <br />P = 12 ft <br />Number of radii = 16 <br />Average length of offset lines <br />= (B + C + D + E + F + G + H + I + J + K + L + M + N + O+ P + Q) <br />/ (Number of radii) <br />= (10 + 15 + 10 + 12 + 15 + 13+ 10 + 15 + 17 + 9 + 8 + 15 + 16 + 10 + 12 + 9) <br />/ 16 <br />= 12.25 ft <br />Total Area = π x 12.252 ft <br />= 3.14 x 12.25 ft x 12.25 ft <br />= 471 ft2 <br />Non-Uniform Ellipses <br />The method used for irregular shaped areas is called the "offset method". First measure the length <br />of the longest axis of the area (line AB). This is called the length line. Next, divide the length line <br />into equal sections, for example 10 ft. At each of these points, measure the distance across the <br />area in a line perpendicular to the length line at each point (lines C through G). These lines are <br />called offset lines. Finally, add the lengths of all offset lines and multiply the result times the <br />distance that separates these lines (10 ft. in this example). This is most notably different from <br />Non-Uniform Rectangular in that neither the left or right edges of the shape are measured in the <br />ellipse. <br />Example: Non-Uniform Ellipse <br />Length line (AB) = 60 ft <br />Distance between offset lines is 10 ft apart <br />Length of each offset line <br />C = 15 ft <br />D = 10 ft <br />E = 15 ft <br />F = 25 ft <br />G = 20 ft <br />Total length <br />of offset lines = C + D + E + F + G <br />= 15 + 10 + 15 + 25 + 20 <br />= 85 ft <br />Total Area = (Distance between offset lines) <br />x (sum of the length of offset lines) <br />= 10 ft x 85 ft <br />= 850 ft2