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       | 
    
 
        
            
            
                 
                   
                    
                       
                        | Ratio 
                          A versus K ... 6 to 12-sided spar  | 
                       
                       
                        Ratio 
                          (A) 
                          or 
                          I.D./O.D. | 
                        Number 
                          of sides 
                          (N) | 
                        Number 
                          of sides 
                          (N) | 
                        Number 
                          of sides 
                          (N) | 
                        Number 
                          of sides 
                          (N) | 
                        Number 
                          of sides 
                          (N) | 
                       
                       
                        |   | 
                        6 | 
                        8 | 
                        9 | 
                        10 | 
                        12 | 
                       
                       
                        | 0.99 | 
                        0.1281 | 
                        0.1043 | 
                        0.0965 | 
                        0.0905 | 
                        0.0818 | 
                       
                       
                        | 0.98 | 
                        0.1362 | 
                        0.1158 | 
                        0.1097 | 
                        0.1053 | 
                        0.1000 | 
                       
                       
                        | 0.97 | 
                        0.1443 | 
                        0.1273 | 
                        0.1228 | 
                        0.1201 | 
                        0.1182 | 
                       
                       
                        | 0.96 | 
                        0.1525 | 
                        0.1388 | 
                        0.1360 | 
                        0.1350 | 
                        0.1363 | 
                       
                       
                        | 0.95 | 
                        0.1606 | 
                        0.1503 | 
                        0.1493 | 
                        0.1499 | 
                        0.1546 | 
                       
                       
                        | 0.94 | 
                        0.1689 | 
                        0.1619 | 
                        0.1625 | 
                        0.1648 | 
                        0.1728 | 
                       
                       
                        | 0.93 | 
                        0.1771 | 
                        0.1735 | 
                        0.1758 | 
                        0.1797 | 
                        0.1911 | 
                       
                       
                        | 0.92 | 
                        0.1854 | 
                        0.1852 | 
                        0.1891 | 
                        0.1947 | 
                        0.2093 | 
                       
                       
                        | 0.91 | 
                        0.1938 | 
                        0.1968 | 
                        0.2025 | 
                        0.2097 | 
                        0.2276 | 
                       
                       
                        | 0.90 | 
                        0.2022 | 
                        0.2086 | 
                        0.2158 | 
                        0.2248 | 
                        0.2460 | 
                       
                       
                        | 0.89 | 
                        0.2106 | 
                        0.2203 | 
                        0.2292 | 
                        0.2398 | 
                        0.2643 | 
                       
                       
                        | 0.88 | 
                        0.2191 | 
                        0.2321 | 
                        0.2427 | 
                        0.2549 | 
                        0.2827 | 
                       
                       
                        | 0.87 | 
                        0.2276 | 
                        0.2439 | 
                        0.2561 | 
                        0.2700 | 
                        0.3011 | 
                       
                       
                        | 0.86 | 
                        0.2361 | 
                        0.2557 | 
                        0.2696 | 
                        0.2852 | 
                        0.3195 | 
                       
                       
                        | 0.85 | 
                        0.2447 | 
                        0.2676 | 
                        0.2831 | 
                        0.3003 | 
                        0.3380 | 
                       
                       
                        | 0.84 | 
                        0.2533 | 
                        0.2795 | 
                        0.2967 | 
                        0.3155 | 
                        0.3565 | 
                       
                       
                        | 0.83 | 
                        0.2619 | 
                        0.2914 | 
                        0.3103 | 
                        0.3308 | 
                        0.3750 | 
                       
                       
                        | 0.82 | 
                        0.2706 | 
                        0.3034 | 
                        0.3239 | 
                        0.3460 | 
                        0.3935 | 
                       
                       
                        | 0.81 | 
                        0.2794 | 
                        0.3154 | 
                        0.3375 | 
                        0.3613 | 
                        0.4121 | 
                       
                       
                        | 0.80 | 
                        0.2882 | 
                        0.3274 | 
                        0.3512 | 
                        0.3766 | 
                        0.4306 | 
                       
                       
                        | 0.78 | 
                        0.3058 | 
                        0.3516 | 
                        0.3787 | 
                        0.4073 | 
                        0.4678 | 
                       
                       
                        | 0.76 | 
                        0.3237 | 
                        0.3759 | 
                        0.4062 | 
                        0.4382 | 
                        0.5052 | 
                       
                       
                        | 0.74 | 
                        0.3417 | 
                        0.4004 | 
                        0.4339 | 
                        0.4691 | 
                        0.5426 | 
                       
                       
                        | 0.72 | 
                        0.3599 | 
                        0.4250 | 
                        0.4618 | 
                        0.5002 | 
                        0.5801 | 
                       
                       
                        | 0.70 | 
                        0.3783 | 
                        0.4497 | 
                        0.4897 | 
                        0.5313 | 
                        0.6177 | 
                       
                       
                        | 0.68 | 
                        0.3968 | 
                        0.4746 | 
                        0.5178 | 
                        0.5626 | 
                        0.6554 | 
                       
                       
                        | 0.66 | 
                        0.4155 | 
                        0.4996 | 
                        0.5460 | 
                        0.5940 | 
                        0.6932 | 
                       
                       
                        | 0.64 | 
                        0.4344 | 
                        0.5248 | 
                        0.5743 | 
                        0.6256 | 
                        0.7312 | 
                       
                       
                        | 0.62 | 
                        0.4535 | 
                        0.5501 | 
                        0.6028 | 
                        0.6572 | 
                        0.7692 | 
                       
                       
                        | 0.60 | 
                        0.4728 | 
                        0.5755 | 
                        0.6314 | 
                        0.6890 | 
                        0.8073 | 
                       
                       
                        | 0.58 | 
                        0.4923 | 
                        0.6011 | 
                        0.6602 | 
                        0.7209 | 
                        0.8455 | 
                       
                       
                        | 0.56 | 
                        0.5119 | 
                        0.6269 | 
                        0.6890 | 
                        0.7529 | 
                        0.8838 | 
                       
                       
                        | 0.54 | 
                        0.5318 | 
                        0.6528 | 
                        0.7180 | 
                        0.7850 | 
                        0.9223 | 
                       
                       
                        | 0.52 | 
                        0.5519 | 
                        0.6788 | 
                        0.7472 | 
                        0.8173 | 
                        0.9608 | 
                       
                       
                        | 0.50 | 
                        0.5721 | 
                        0.7051 | 
                        0.7764 | 
                        0.8496 | 
                        0.9994 | 
                       
                       
                        | 0.48 | 
                        0.5926 | 
                        0.7314 | 
                        0.8059 | 
                        0.8821 | 
                        1.0382 | 
                       
                       
                        | 0.46 | 
                        0.6133 | 
                        0.7579 | 
                        0.8354 | 
                        0.9148 | 
                        1.0770 | 
                       
                       
                        | 0.44 | 
                        0.6342 | 
                        0.7846 | 
                        0.8651 | 
                        0.9475 | 
                        1.1159 | 
                       
                       
                        | 0.42 | 
                        0.6553 | 
                        0.8114 | 
                        0.8949 | 
                        0.9804 | 
                        1.1550 | 
                       
                       
                        | 0.40 | 
                        0.6766 | 
                        0.8384 | 
                        0.9249 | 
                        1.0134 | 
                        1.1941 | 
                       
                       
                        | 0.38 | 
                        0.6981 | 
                        0.8656 | 
                        0.9550 | 
                        1.0465 | 
                        1.2334 | 
                       
                       
                        | 0.36 | 
                        0.7199 | 
                        0.8929 | 
                        0.9853 | 
                        1.0798 | 
                        1.2728 | 
                       
                       
                        | 0.34 | 
                        0.7419 | 
                        0.9204 | 
                        1.0157 | 
                        1.1132 | 
                        1.3122 | 
                       
                       
                        | 0.32 | 
                        0.7641 | 
                        0.9480 | 
                        1.0462 | 
                        1.1467 | 
                        1.3518 | 
                       
                       
                        | 0.30 | 
                        0.7866 | 
                        0.9758 | 
                        1.0769 | 
                        1.1803 | 
                        1.3915 | 
                       
                       
                        | 0.28 | 
                        0.8093 | 
                        1.0038 | 
                        1.1078 | 
                        1.2141 | 
                        1.4313 | 
                       
                       
                        | 0.26 | 
                        0.8322 | 
                        1.0320 | 
                        1.1388 | 
                        1.2480 | 
                        1.4712 | 
                       
                       
                        | 0.24 | 
                        0.8554 | 
                        1.0603 | 
                        1.1699 | 
                        1.2821 | 
                        1.5112 | 
                       
                       
                        | 0.22 | 
                        0.8789 | 
                        1.0888 | 
                        1.2012 | 
                        1.3163 | 
                        1.5513 | 
                       
                       
                        | 0.20 | 
                        0.9026 | 
                        1.1175 | 
                        1.2327 | 
                        1.3506 | 
                        1.5916 | 
                       
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