SEGMENTS OF CIRCLES Machinery's Handbook, 31st Edition
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Segments of Circles for Radius = 1 (US Customary or Metric Units) h / c 81 1.41372 0.23959 1.29890 0.2130 6.8 0.18446 131 2.28638 0.58531 1.81992 0.7658 24.4 0.32161 82 1.43117 0.24529 1.31212 0.2205 7.0 0.18694 132 2.30383 0.59326 1.82709 0.7803 24.8 0.32470 83 1.44862 0.25104 1.32524 0.2280 7.3 0.18943 133 2.32129 0.60125 1.83412 0.7950 25.3 0.32781 84 1.46608 0.25686 1.33826 0.2358 7.5 0.19193 134 2.33874 0.60927 1.84101 0.8097 25.8 0.33094 85 1.48353 0.26272 1.35118 0.2437 7.8 0.19444 135 2.35619 0.61732 1.84776 0.8245 26.2 0.33409 86 1.50098 0.26865 1.36400 0.2517 8.0 0.19696 136 2.37365 0.62539 1.85437 0.8395 26.7 0.33725 87 1.51844 0.27463 1.37671 0.2599 8.3 0.19948 137 2.39110 0.63350 1.86084 0.8546 27.2 0.34044 88 1.53589 0.28066 1.38932 0.2682 8.5 0.20201 138 2.40855 0.64163 1.86716 0.8697 27.7 0.34364 89 1.55334 0.28675 1.40182 0.2767 8.8 0.20456 139 2.42601 0.64979 1.87334 0.8850 28.2 0.34686 90 1.57080 0.29289 1.41421 0.2854 9.1 0.20711 140 2.44346 0.65798 1.87939 0.9003 28.7 0.35010 91 1.58825 0.29909 1.42650 0.2942 9.4 0.20967 141 2.46091 0.66619 1.88528 0.9158 29.2 0.35337 92 1.60570 0.30534 1.43868 0.3032 9.7 0.21224 142 2.47837 0.67443 1.89104 0.9314 29.6 0.35665 93 1.62316 0.31165 1.45075 0.3123 9.9 0.21482 143 2.49582 0.68270 1.89665 0.9470 30.1 0.35995 94 1.64061 0.31800 1.46271 0.3215 10.2 0.21741 144 2.51327 0.69098 1.90211 0.9627 30.6 0.36327 95 1.65806 0.32441 1.47455 0.3309 10.5 0.22001 145 2.53073 0.69929 1.90743 0.9786 31.1 0.36662 96 1.67552 0.33087 1.48629 0.3405 10.8 0.22261 146 2.54818 0.70763 1.91261 0.9945 31.7 0.36998 97 1.69297 0.33738 1.49791 0.3502 11.1 0.22523 147 2.56563 0.71598 1.91764 1.0105 32.2 0.37337 98 1.71042 0.34394 1.50942 0.3601 11.5 0.22786 148 2.58309 0.72436 1.92252 1.0266 32.7 0.37678 99 1.72788 0.35055 1.52081 0.3701 11.8 0.23050 149 2.60054 0.73276 1.92726 1.0428 33.2 0.38021 100 1.74533 0.35721 1.53209 0.3803 12.1 0.23315 150 2.61799 0.74118 1.93185 1.0590 33.7 0.38366 101 1.76278 0.36392 1.54325 0.3906 12.4 0.23582 151 2.63545 0.74962 1.93630 1.0753 34.2 0.38714 102 1.78024 0.37068 1.55429 0.4010 12.8 0.23849 152 2.65290 0.75808 1.94059 1.0917 34.7 0.39064 103 1.79769 0.37749 1.56522 0.4117 13.1 0.24117 153 2.67035 0.76655 1.94474 1.1082 35.3 0.39417 104 1.81514 0.38434 1.57602 0.4224 13.4 0.24387 154 2.68781 0.77505 1.94874 1.1247 35.8 0.39772 105 1.83260 0.39124 1.58671 0.4333 13.8 0.24657 155 2.70526 0.78356 1.95259 1.1413 36.3 0.40129 106 1.85005 0.39818 1.59727 0.4444 14.1 0.24929 156 2.72271 0.79209 1.95630 1.1580 36.9 0.40489 107 1.86750 0.40518 1.60771 0.4556 14.5 0.25202 157 2.74017 0.80063 1.95985 1.1747 37.4 0.40852 108 1.88496 0.41221 1.61803 0.4669 14.9 0.25476 158 2.75762 0.80919 1.96325 1.1915 37.9 0.41217 109 1.90241 0.41930 1.62823 0.4784 15.2 0.25752 159 2.77507 0.81776 1.96651 1.2084 38.5 0.41585 110 1.91986 0.42642 1.63830 0.4901 15.6 0.26028 160 2.79253 0.82635 1.96962 1.2253 39.0 0.41955 111 1.93732 0.43359 1.64825 0.5019 16.0 0.26306 161 2.80998 0.83495 1.97257 1.2422 39.5 0.42328 112 1.95477 0.44081 1.65808 0.5138 16.4 0.26585 162 2.82743 0.84357 1.97538 1.2592 40.1 0.42704 113 1.97222 0.44806 1.66777 0.5259 16.7 0.26866 163 2.84489 0.85219 1.97803 1.2763 40.6 0.43083 114 1.98968 0.45536 1.67734 0.5381 17.1 0.27148 164 2.86234 0.86083 1.98054 1.2934 41.2 0.43464 115 2.00713 0.46270 1.68678 0.5504 17.5 0.27431 165 2.87979 0.86947 1.98289 1.3105 41.7 0.43849 116 2.02458 0.47008 1.69610 0.5629 17.9 0.27715 166 2.89725 0.87813 1.98509 1.3277 42.3 0.44236 117 2.04204 0.47750 1.70528 0.5755 18.3 0.28001 167 2.91470 0.88680 1.98714 1.3449 42.8 0.44627 118 2.05949 0.48496 1.71433 0.5883 18.7 0.28289 168 2.93215 0.89547 1.98904 1.3621 43.4 0.45020 119 2.07694 0.49246 1.72326 0.6012 19.1 0.28577 169 2.94961 0.90415 1.99079 1.3794 43.9 0.45417 120 2.09440 0.50000 1.73205 0.6142 19.6 0.28868 170 2.96706 0.91284 1.99239 1.3967 44.5 0.45817 121 2.11185 0.50758 1.74071 0.6273 20.0 0.29159 171 2.98451 0.92154 1.99383 1.4140 45.0 0.46220 122 2.12930 0.51519 1.74924 0.6406 20.4 0.29452 172 3.00197 0.93024 1.99513 1.4314 45.6 0.46626 123 2.14675 0.52284 1.75763 0.6540 20.8 0.29747 173 3.01942 0.93895 1.99627 1.4488 46.1 0.47035 124 2.16421 0.53053 1.76590 0.6676 21.3 0.30043 174 3.03687 0.94766 1.99726 1.4662 46.7 0.47448 125 2.18166 0.53825 1.77402 0.6813 21.7 0.30341 175 3.05433 0.95638 1.99810 1.4836 47.2 0.47865 126 2.19911 0.54601 1.78201 0.6950 22.1 0.30640 176 3.07178 0.96510 1.99878 1.5010 47.8 0.48284 127 2.21657 0.55380 1.78987 0.7090 22.6 0.30941 177 3.08923 0.97382 1.99931 1.5184 48.3 0.48708 128 2.23402 0.56163 1.79759 0.7230 23.0 0.31243 178 3.10669 0.98255 1.99970 1.5359 48.9 0.49135 129 2.25147 0.56949 1.80517 0.7372 23.5 0.31548 179 3.12414 0.99127 1.99992 1.5533 49.4 0.49566 130 2.26893 0.57738 1.81262 0.7514 23.9 0.31854 180 3.14159 1.00000 2.00000 1.5708 50.0 0.50000 Segments of Circles for Radius = 1 (US Customary or Metric Units) (Continued) l h c Area A A ⁄ π % h / c a , Deg. l h c Area A A ⁄ π %
a , Deg.
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