## Utility Of The Table. Examples

1. Required the circumference of a circle, the diameter being five inches ?

In the column of circumferences opposite the given diameter, stands 15.708* inches, the circumference required.

2. Required the capacity, in gallons, of a can the diameter being 6 feet and depth 10 feet ?

In the fourth column from the given diameter stands 211.4472* being the content of a can 6 feet in diameter and 1 foot in depth, which being multipled by 10 gives the required content, two thousand one hundred fourteen and a half gallons.

3, Any of the areas in feet multiplied by .03704, the product equal the number of cubic yards at 1 foot in depth.

4. The area of a circle in inches multiplied by the length or thickness in inches, and by .263, the product equal the weight in pounds of cast iron.

* See opposite page (page 40) for Decimal Equivalents to the Fractional parts of a Gallon, and an Inch.

## Diameters And Circumferences Of Circles, And The Content In Gallons At 1 Foot In Depth

[Area in Inches.]

 Diam. Circ. in. Area. in. Gallons. 1 in. 3.1416 .7854 .04084 1/8 3.5343 .9940 .05169 ¼4 3 9270 1.2271 .06380 3/8 4.3197 1.4848 .07717 ½ 4.7124 1.7671 .09188 5/8 5.1051 2.0739 .10784 ¾ 5.4978 2.4052 .12506 7/8 5.8.905 2.7611 .14357 2 in. 6.2832 3.1416 .16333 1/8 6.6759 3.5465 .18439 ¼ 7.0686 3.9760 .20675 3/8 7.4613 4.4302 .23036 ½ 7.8540 4.9087 .25522 5/8 8.2467 5.4119 .28142 ¾ 8.6394 5.9395 .30883 7/8 9.0321 6.4918 .33753 3 in. 9.4248 7.0686 .36754 1/8 9.8175 7.6699 .39879 ¼ 10.210 8.2957 .43134 3/8 10.602 8.9462 .46519 ½ 10.995 9.6211 .50029 5/8 11.388 10.320 .53664 ¾ 11.781 11.044 .57429 7/8 12.173 11.793 .61324 4 in. 12.566 12.566 .65343 1/8 12.959 13.364 .69493 ¼ 13.351 14.186 .73767 3/8 13.744 15.033 .78172 ½ 14.137 15.904 .82701 5/8 11.529 16.800 .87360 ¾ 14.922 17.720 .92144 7/8 15.315 18.665 .97058 5 in. 15.708 19.635 1.02102 1/8 16.100 20.629 1.07271 ¼ 16.493 21.647 1.12564 3/8 16.886 22.690 1.17988 ½ 17.278 23.758 1.23542 5/8 17.671 24.850 1.29220 ¾ 18.064 25.967 1.35028 7/8 18.457 27.108 1.40962 6 in. 18.849 28.274 1.47025 1/8 19.242 29.464 1.53213 ¼ 19.636 30.679 1.69531 3/8 20.027 31.919 1.65979
 Diam. Circ. in. Area. in. Gallons. 6½ 20.420 33.183 1.72552 5/8 20.813 34.471 1.79249 ¾ 21.205 35.7S4 1.86077 7/8 21.598 37122 1.93934 7 in. 21.991 38.484 200117 1/8 22.383 39.871 2.07329 ¼ 22.776 41.282 214666 3/8 23169 42.718 222134 ½ 23.562 44.178 2.29726 5/8 23.954 45.663 2.37448 ¾ 24.347 47.173 2.45299 7/8 24.740 48.707 2 53276 8 in. 25132 50.265 2.61378 1/8 25515 51.848 2.69609 ¼ 25.918 53.456 2.77971 3/8 26.310 55.088 2.86458 ½ 26.703 56.715 2.95074 5/8 27.096 58 426 3.03815 ¾ 27.489 60132 3.12686 7/8 27.881 61.862 3.21682 9 in. 28.274 63 617 3.30808 1/8 28.667 65.396 3.40059 ¼ 29.059 67.200 3.49440 3/8 29.152 69.029 3.58951 ½ 29.845 70.882 3.68586 5/8 30.237 72.759 3.78347 ¾ 30 630 74.662 3.882 42 7/8 31.023 76.588 3.98258 10 in 31.416 78.540 4.08408 1/8 31.808 80.515 4.18678 ¼ 32.201 82.516 4.29083 3/8 32.594 84.540 4.39608 ½ 32.986 86.590 4.50268 5/8 33.379 88.664 4.61058 ¾ 33.772 90.762 4.71962 7/8 34.164 92.885 4.82846 11 in. 34 557 95.083 4.94172 1/8 34.950 97.205 5.05466 ¼ 35 343 99.402 5.16890 3/8 35.735 101.623 5.28489 ½ 36.128 103 869 5.40119 5/8 36.521 106.139 5.51928 ¾ 36.913 108.484 5.63857 7/8 37.806 110.753 5.75916

## Diameters And Circumferences Of Circles, And The Content In Gallons At 1 Foot In Depth

[Area in Feet."]

 Diam. Circ. Area in ft. Gallons. Ft In. Ft. In. 1 ft. in depth 1 3 1 5/8 .7854 5.8735 1 1 3 4 5/8 .9217 6.8928 1 2 3 8 1.0690 7.9944 1 3 3 11 1.2271 9.1766 1 4 4 2 1/8 1.3962 10.4413 1 5 4 5 3/8 1.5761 11.7866 1 6 4 8½ 1.7671 13.2150 1 7 4 11 5/8 1.9689 14.7241 1 8 5 2¾ 2.1816 16.3148 1 9 5 5 7/8 2.4052 17.9870 1 10 5 9 2.6398 19.7414 1 11 6 2¼ 2.8852 21.4830 2 6 3 3/8 3 1416 23.4940 2 1 6 6½ 3.4087 25.4916 2 2 6 9 5/8 3.6869 27.5720 2 3 7 0¾ 3.9760 29.7340 2 4 7 3 7/8 4.2760 32.6976 2 5 7 7 4.5869 34.3027 2 6 7 10¼ 4.9087 36.7092 2 7 8 1 3/8 5.2413 39.1964 2 8 8 4½ 5.5850 41.7668 2 9 8 7 5/8 5.9395 44.4179 2 10 8 10¾ 6.3049 47.1505 2 11 9 1 7/8 6.6813 49.9654 3 9 5 7.0686 52.8618 3 1 9 8¼ 7.4666 55.8382 3 2 9 l1 3/8 7 8757 58.8976 3 3 10 2½ 8.2957 62 0386 3 4 10 5 5/8 8.7265 65.2602 3 5 10 8¾ 9.1683 68 5193 3 6 10 11 7/8 9.6211 73.1504 3 7 11 3 10.0846 75.4166 3 8 11 6 1/8 10.5591 78.9652 3 9 11 9 3/8 11.0446 82.5959 3 10 12 5½ 11.5409 86.3074 3 11 12 3 5/8 12.0481 90.1004 4 12 6¾ 12.5664 93 9754 4 1 12 9 7/8 13.0952 97.9310 4 2 13 1 13.6353 101.9701 4 3 13 4 1/8 14.1862 103.0300 4 4 13 7¼ 14.7479 110 2907 4 5 13 10i 15.3206 114.5735
 Diam. Circ. Area in ft. Gallons. Ft. In. Ft. In. 1 ft. in depth 4 6 14 1 5/8 15.9043 118.9386 4 7 14 4 5/8 16.4986 123.3830 4 8 14 7 7/8 17.1041 127.9112 4 9 14 11 17.7205 132.5209 4 10 15 2 1/8 18.3476 137.2105 4 11 15 5¼ 18.9858 142.0582 5 15 8½ 19.6350 146.8384 5 1 15 11 5/8 20.2947 151.7718 5 2 16 2¾ 20.9656 156.7891 5 3 16 5¾ 21.6475 161.8886 5 4 16 9 22.3400 167.0674 5 5 17 0 1/8 23.0437 172.3300 5 6 17 3¼ 23.7583 177.6740 5 7 17 6 3/8 24.4835 183.0973 5 8 17 9 5/8 25.2199 188.6045 5 9 18 0¾ 25.9672 194.1930 5 10 18 3 7/8 26.7251 199.8610 5 11 18 7 1/8 27.4943 205.6133 6 18 10 1/8 28.2744 211.4472 6 3 19 7½ 30.6796 229.4342 6 6 20 4 7/8 33.1831 248.1564 6 9 21 4 35.7847 267.6122 7 21 11 7/8 38.4846 287.8032 7 3 22 9¼ 41.2825 308.7270 7 6 23 6¾ 44.1787 330.3859 7 9 24 4 1/8 47.1730 352.7665 8 25 1½ 50.2656 375.9062 8 3 25 11 53.4562 399.7668 8 6 26 8 3/8 56.7451 424.3625 8 9 27 5¾ 60.1321 449.2118 9 28 3¼ 63.6174 475.7563 9 3 29 0 5/8 67.2007 502.5536 9 6 29 10 1/8 70.8823 530.0861 9 9 30 7½ 74.6620 558.3522 10 31 5 78.5400 587 3534 10 3 32 2 3/8 82.5160 617.0876 10 6 32 11¾ 86.5903 647.5568 10 9 33 9¼ 90.7627 678.2797

## Diameters And Circumferences Of Circles

 Diam. Circ. Area in ft. Gallons. Ft. In. Ft. In. 1 ft. in depth 11 34 6 5/8 95.0334 710.6977 11 3 35 4 1/8 99.4021 743.3686 11 6 36 1½ 103.8691 776.7746 11 9 36 10 7/8 108.4342 8109143 12 37 8 3/8 113.0976 848.1890 12 3 38 5¾ 117.8590 881.3966 12 6 39 3¼ 1227187 917.7395 12 9 40 0 5/8 127.6765 954.8159 13 40 10 132.7326 992.6274 13 3 41 7½ 137.8867 1031.1719 13 6 42 4 7/8 143.1391 1070.4514 13 9 43 2¼ 148.4896 1108.0645 14 43 11¾ 153.9384 1151.2129 14 3 44 9 1/8 159.4852 1192.6940 14 6 45 6 5/8 165.1303 1234.9104 14 9 46 4 170.8735 1277.8615 15 47 1½ 176.7150 1321.5454 15 3 47 10 7/8 182.6545 1365.9634 15 6 48 8¼ 188.6923 1407.5165 15 9 49 5¾ 194.8282 1457.0032 16 50 3 1/8 201.0624 1503.6250 16 3 51 0½ 207.3946 1550.9797 16 6 51 10 213.8201 1599.0696 16 9 52 7 3/8 220.3537 1647.8930 17 53 4 7/8 226.9806 1697.4516 17 3 54 2 1/8 233.7055 1747.7431 17 6 54 11 5/8 240.5287 1798.7698 17 9 55 4 247.4500 1850.5301 18 56 6½ 254.4696 1903.0254 18 3 57 4 261.5872 1956.2537 18 6 58 1 3/8 268.8031 2010.2171 18 9 58 10¾ 276.1171 2064.9140 19 59 8¼ 288.5294 2120.3462 19 3 60 5 5/8 291.0397 2176.5113 19 6 61 3 1/8 298.6483 2233.2914 19 9 62 0½ 306.3550 2291.0452 20 62 9 7/8 314.1600 2849.4141 20 8 68 1 322 0680 2408.5159 20 6 64 4¾ 8800648 2468.3528 20 9 66 2¼ 838.1687 2528.9233
 Diam. Circ. Area in ft. Gallons. Ft. In. Ft. In. 1 ft. in depth 21 65 11 5/8 346.3614 2590.2290 21 3 66 9 354.6571 2652.2532 21 6 67 6½ 363.0511 2715.0413 21 9 68 3 7/8 371.5432 2778.5486 22 69 1 3/8 380.1336 2842.7910 22 3 69 10¾ 388.8220 2907.7664 22 6 70 8¼ 397.6087 2973.4889 22 9 71 5 5/8 406.4935 3039.9209 23 72 3 415.4766 3107.1001 23 3 73 0½ 424.5577 3175.0122 23 6 73 9 7/8 433.7371 3243.6595 23 9 74 7¼ 443.0146 3313.0403 24 75 4¾ 452.3904 3383.1563 24 3 76 2 1/8 461.8642 3454.0051 24 6 76 11 5/8 471.4363 3525.5929 24 9 77 9 481.1065 3597.9068 25 78 6 3/8 490.8750 3670.9596 25 3 79 3 7/8 500.7415 3744.7452 25 6 80 1¼ 510.7063 3819.2657 25 9 80 10¾ 520 7692 3894.5203 26 81 8 1/8 530.9304 3970.5098 26 3 82 5¼ 541.1896 4047.2322 26 6 S3 3 551.5471 4124.6893 26 9 84 0 3/8 502.0027 4202.9610 27 84 9 7/8 572.5566 4281.8072 27 3 85 8 1/8 583.2085 4361.4664 27 6 86 44 593.9587 4441.8607 27 9 87 2 1/8 604.8070 4522.9886 28 87 11½ 615.7536 4604.8517 28 3 88 9 626.7982 4686.4876 28 6 89 6 3/8 637.94ll 4770.7787 28 9 90 3¾ 649.1821 4854.8434 29 91 1¼ 660.5214 4939.6432 29 3 91 10 5/8 671.9587 5025.1759 29 6 92 8 1/8 688.4948 5111.4487 29 9 93 5½ 695.1280 5198.4451 30 94 2 7/8 706.8600 52S6.1818 80 3 95 0 3/8 718.6900 5374.6512 30 6 95 9¾ 730.6183 5463.8558 80 9 96 7¼ 712.6447 5553.7940