Diam. Circum. Area. 90210 90 90 903 90/1 91 91 914 91 92 921 921 92곱 921 92 923 92급 93 93 931 931 93 93 934 934 94 941 94 943 91 94 943 94 95 95 TABLE (Continued). 6,414.86 283.922 284.707 6,450.40 285.100 285.886 6,468.21 6,486.04 6,503.90 6,521.78 6,539.68 6,557.61 6,575.56 6,593.54 6,611.55 286.278 286.671 287.064 287.849 288.242 288.634 6,629.57 289.027 6,647.63 289.420 6,665.70 289.813 6,683.80 290.205 6,701.93 290.598 6,720.08 290.991 6,738.25 291.383 6,756.45 291.776 6,774.68 292.169 6,792.92 292.562 6,811.20 292.954 6,829.49 6,847.82 6,866.16 293.347 293.740 294.132 294.525 294.918 295.310 295.703 296.096 296.488 296.881 297.274 7,032.39 297.667 7,050.98 298.059 7,069.59 298.452 7,088.24 6,884.53 6,902.93 6,921.35 6,939.79 6,958.26 6,976.76 6,995.28 7,013.82 Diam. 95 95 95 95 95 957 96 961 96 96 96 96 96 96 97 971 97 97 971 97 97 97 98 98 98 98 98 98 983 98급 99 991 99 99 99 99 992 99% 100 Circum. Area. 299.237 299.630 300.023 300.415 300.808 301.201 301.594 301.986 302.379 302.772 303.164 303.557 303.950 304.342 304.735 305.128 305.521 305.913 306.306 306.699 307.091 307.484 307.877 308.270 308.662 309.055 309.448 309.840 310.233 310.626 311.018 311.411 311.804 7,125.59 7,144.31 7,163.04 7,181.81 7,200.60 7,219.41 7,238.25 7,257.11 7,275.99 7,294.91 7,313.84 7,332.80 7,351.79 7,370.79 7,389.83 7,408.89 7,427.97 7,447.08 7,466.21 7,485.37 7,504.55 7,523.75 7,542.98 7,562.24 7,581.52 7,600.82 7,620.15 7,639.50 7,658.88 7,678.28 7,697.71 7,717.16 7,736.63 The preceding table may be used to determine the diameter when the circumference or area is known. Thus, the diameter of a circle having an area of 7,200 sq. in. is, approximately, 95 in. DECIMAL EQUIVALENTS OF PARTS OF ONE INCH. .281250 17-32.531250 1-64 .015625 17-64 .265625 33-64 .515625 49-64 .765625 .296875 9-16 .562500 .390625 .406250 5-8 .625000 41-64 .610625 21-32.656250 43-64 .671875 U-IS .421875 .437500 .687500 5-32 .156250 13-32 11-64 .171875 27-64 3-16 .187500 7-16 13-64.203125 29-64 7-32 .218750 15-32 15-64 .234375 31-64 .484375 47-64 .734375 1-4 .250000 1-2 .500000 3-4 45-64 .703125 .453125 .718750 .750000 Inch. 0 DECIMALS OF A FOOT FOR EACH 1-32 OF AN INCH, 1" .0469 .0495 .0521 .0547 .0573 .0599 0833 .0026 667 .1693 .0859 .0052 .0885 .1719 .0078 .0911 .1745 .0104 .0937 .1771 .0130 .0964 .1797 .0156 .0990 .1823 .0182 .18-19 .1875 .0234 .1068 .1901 .0260 .1927 .1094 .0312 .1146 .1979 .0339 .1172 .2005 .0365 .1198 .2031 .0391 .1224 .2057 .0117 .1250 .2083 .0443 .1276 .1302 .1328 .1016 .0208 .1012 .1354 .2188 .1380 .2214 .1406 .2210 .1432 .2266 25-32.781250 51-64.796875 13-16 .812500 53-64 .828125 27-32.843750 55-64.859375 7-8 .875000 57-64.890625 29-32.906250 59-64 .921875 15-16 .937500 61-64 .953125 31-32.968750 .984375 1 63-64 1 4" .2500 .2526 .2552 .2578 .2604 .3437 .2630 .3464 .2656 .3490 .2682 .3516 .2708 .3542 .2734 .3568 .2760 .3594 .2786 .3620 .2812 .3646 .2839 .3672 .2865 .3698 .2891 .3724 .2917 .3750 .2109 .2913 .3776 .2135 .2969 .3802 .2161 .2995 .3828 .3021 .3854 .3047 .3880 .3073 .3099 .3333 .3359 .3385 .3411 .3906 .3932 5′′ .4167 .4193 .4219 .4245 .4271 .4297 .4323 .4349 .4375 4401 .4427 .4453 .4479 .4505 .4531 .4557 .4583 .4609 .4635 .4661 .4688 .4714 .4740 .4766 0" .0625 .0651 TABLE (Continued). 1" 6" .1458 .1484 .1510 2292 .2318 .0677 .2344 .0703 .1536 .2370 .0729 .1562 .2396 .0755 .1589 .2422 .0781 .1615 .2448 ייך 2" .5000 .5833 .5052 .5885 .5130 .5964 .5156 .5182 .5208 .6042 .5234 .6068 .5260 .6094 .5286 .6120 .5312 .6146 .5339 .6172 .5365 .6198 .5391 .6224 .5417 .5443 .5469 .6302 DECIMALS OF A FOOT FOR EACH 1-32 OF AN INCH. Inch. 10" 11" .9167 .9193 .9219 .9245 .9271 .9297 .9323 .9349 .9375 .9401 .9427 .9453 .9479 8" .6667 .6693 .6719 .5911 .6745 .6771 .6797 .5990 .6823 .6016 .6849 .6875 .6901 .6927 .6953 .6979 .7005 .7031 .7057 .7083 .6458 .6484 .6250 .6276 .7109 .7135 .5495 .6328 .7161 .5521 .6354 .7188 .5547 .6380 .7214 .5573 .6406 .7240 .5599 .6432 .7266 .5625 .7292 .5651 .7318 .5677 .6510 .7344 .5703 .6536 .7370 .5729 .6562 .7396 .5755 .6589 .7422 .5781 .5807 .6615 .7448 .6641 .7474 3" .3125 .3151 .3177 .3203 .3229 9" .7500 .7526 .7552 .7578 .7604 .7630 .7656 .7682 .7708 .7734 .7760 .7786 .7812 .7839 .7865 .7891 .7917 .7943 .7969 .7995 .8021 .8047 .8073 .8099 .8125 .8151 4" .4036 .4062 .3255 .4089 .4922 .4115 .4948 .3281 177 .8203 .8229 .8255 .8281 .8307 .3958 .3984 .4010 .8333 .8359 .8385 .8411 .8437 .8464 .8490 .8516 .8542 .8568 .8594 .8620 .8646 .8672 .8698 .8724 .8750 .8776 .8802 5" .8828 .8854 .8880 .8906 .8932 .8958 .8984 .9010 .9036 .4792 .4818 .4844 .4870 .4896 .9062 .9089 .9115 .9141 .9505 .9531 .9557 .9583 .9609 .9635 .9661 .9688 .9714 .9740 .9766 .9792 .9818 .9844 .9870 .9896 .9922 .9948 .9974 GEOMETRICAL DRAWING. To erect a perpendicular to the line b c at the point a. With a as a center, and any radius, as a b, strike arcs cutting the line at b and c. From band e as centers, and any radius greater than ba, strike arcs intersecting at d. Draw da, which will be perpendicular to b c at a. To draw a line parallel to ab. At any points a and b, with a radius equal to the required distance between the lines, draw arcs at c and d. The line cd, tangent to the arcs, will be the required parallel. To bisect the angle bac. With a as a center, strike an arc cutting the sides of the angle in b and c. With b and c as centers, and any radius, strike arcs intersecting, as at d. Draw da, the bisector. To erect a perpendicular at the end of a line. Take a center anywhere above the line, as at b. Strike an arc passing through a and cutting the given line at c. Draw a line through c and b, cutting the arc at d. Draw the line ad, which will be the required perpendicular. To divide a line into any number of equal parts. Let it be required to divide the line ab into 5 equal parts. Draw any line a d, and point off 5 equal divisions, as shown. From 5 draw a line to b and draw 4-4, 3-3', etc. parallel to 5b. To divide a space between two parallel ines or surfaces (for example, the spacing of risers in a stairway). Draw ab and ce the given distance apart. Then move a scale along them, until as many spaces are included along a d as there are number of divisions required. Mark the points 1, 2, 3, etc., and draw lines through them parallel to ab and ce. 20 40 30 d 10 a 50 70 80 90 C The magnitude of an angle depends not upon the length of its sides, but upon the number of degrees contained in the arc of a circle drawn with the vertex as a center. The circle is divided into 360 equal parts, called degrees. To divide a quadrant as shown in the figure, first divide it into 3 parts by the arcs at e and d, chords c d and a e being Then subdivide with dividers. equal to the radius. An inscribed angle has its vertex (as c or d) in the circumference of a circle. Any angle inscribed in a semicircle is a right angle, as a c b, or ad b. a To draw a circle through three points not in a straight line, as a, b, and c. Bisect ab and also b c. The two bisectors will intersect in a point d, which will be the center of the required circle. To find the center of a circular arc, as abc, take a point, as b on the curve, and draw ba and bc. Bisect these lines by perpendiculars; the intersec To construct a hexagon from a given side. Describe a circle with a radius ab equal to the given side. Draw a diameter as c b. From c and b as centers, and a radius equal to the given side, draw arcs cutting the circle at k, d, f, and e. Connect c, k, ƒ, b, e, and d. |