Circle - the Chord Lengths when Divided in to Equal Segments
Calculate chord lengths when dividing the circumference of a circle into an equal number of segments.
Chord Length Calculator
The length - L - of a chord when dividing a circumference of a circle into equal number of segments can be calculated from the table below. The chord length - L - in the table is for a "unit circle" with radius = 1.
To calculate the actual length of a chord - multiply the "unit circle" length - L - with the radius for the the actual circle.
Example - Chord Length
A circle with radius 3 m is divided in 24 segments. From the table below: the length - L - of a single chord in a "unit circle" with 24 segments is 0.2611 units.
The length of the chord for a circle with radius 3 m can be calculated as
0.2611 (3 m) = 0.7833 m
The summarized length of all chords in the circle can be calculated as
(0.7833 m) 24
= 6.2653 (3m)
= 18.7959 m
The circumference of the circle can be calculated as
C = 2 π r
= 2 π (3 m)
= 18.8496 m
Number of Segments - n - | Center Angle - θ - | Length of Single Chord - L - | Summarized Lengths of Chords | |
---|---|---|---|---|
degrees | radians | |||
2 | 180.0000 | 3.1416 | 2.0000 | 4.0000 |
4 | 90.0000 | 1.5708 | 1.4142 | 5.6569 |
6 | 60.0000 | 1.0472 | 1.0000 | 6.0000 |
8 | 45.0000 | 0.7854 | 0.7654 | 6.1229 |
10 | 36.0000 | 0.6283 | 0.6180 | 6.1803 |
12 | 30.0000 | 0.5236 | 0.5176 | 6.2117 |
14 | 25.7143 | 0.4488 | 0.4450 | 6.2306 |
16 | 22.5000 | 0.3927 | 0.3902 | 6.2429 |
18 | 20.0000 | 0.3491 | 0.3473 | 6.2513 |
20 | 18.0000 | 0.3142 | 0.3129 | 6.2574 |
22 | 16.3636 | 0.2856 | 0.2846 | 6.2619 |
24 | 15.0000 | 0.2618 | 0.2611 | 6.2653 |
26 | 13.8462 | 0.2417 | 0.2411 | 6.2679 |
28 | 12.8571 | 0.2244 | 0.2239 | 6.2700 |
30 | 12.0000 | 0.2094 | 0.2091 | 6.2717 |
32 | 11.2500 | 0.1963 | 0.1960 | 6.2731 |
34 | 10.5882 | 0.1848 | 0.1845 | 6.2742 |
36 | 10.0000 | 0.1745 | 0.1743 | 6.2752 |
38 | 9.4737 | 0.1653 | 0.1652 | 6.2760 |
40 | 9.0000 | 0.1571 | 0.1569 | 6.2767 |
42 | 8.5714 | 0.1496 | 0.1495 | 6.2773 |
44 | 8.1818 | 0.1428 | 0.1427 | 6.2778 |
46 | 7.8261 | 0.1366 | 0.1365 | 6.2783 |
48 | 7.5000 | 0.1309 | 0.1308 | 6.2787 |
50 | 7.2000 | 0.1257 | 0.1256 | 6.2791 |
52 | 6.9231 | 0.1208 | 0.1208 | 6.2794 |
54 | 6.6667 | 0.1164 | 0.1163 | 6.2796 |
56 | 6.4286 | 0.1122 | 0.1121 | 6.2799 |
58 | 6.2069 | 0.1083 | 0.1083 | 6.2801 |
60 | 6.0000 | 0.1047 | 0.1047 | 6.2803 |
62 | 5.8065 | 0.1013 | 0.1013 | 6.2805 |
64 | 5.6250 | 0.0982 | 0.0981 | 6.2807 |
66 | 5.4545 | 0.0952 | 0.0952 | 6.2808 |
68 | 5.2941 | 0.0924 | 0.0924 | 6.2810 |
70 | 5.1429 | 0.0898 | 0.0897 | 6.2811 |
72 | 5.0000 | 0.0873 | 0.0872 | 6.2812 |
74 | 4.8649 | 0.0849 | 0.0849 | 6.2813 |
76 | 4.7368 | 0.0827 | 0.0826 | 6.2814 |
78 | 4.6154 | 0.0806 | 0.0805 | 6.2815 |
80 | 4.5000 | 0.0785 | 0.0785 | 6.2816 |
82 | 4.3902 | 0.0766 | 0.0766 | 6.2816 |
84 | 4.2857 | 0.0748 | 0.0748 | 6.2817 |
86 | 4.1860 | 0.0731 | 0.0730 | 6.2818 |
88 | 4.0909 | 0.0714 | 0.0714 | 6.2819 |
90 | 4.0000 | 0.0698 | 0.0698 | 6.2819 |
92 | 3.9130 | 0.0683 | 0.0683 | 6.2820 |
94 | 3.8298 | 0.0668 | 0.0668 | 6.2820 |
96 | 3.7500 | 0.0654 | 0.0654 | 6.2821 |
98 | 3.6735 | 0.0641 | 0.0641 | 6.2821 |
100 | 3.6000 | 0.0628 | 0.0628 | 6.2822 |
102 | 3.5294 | 0.0616 | 0.0616 | 6.2822 |
104 | 3.4615 | 0.0604 | 0.0604 | 6.2822 |
106 | 3.3962 | 0.0593 | 0.0593 | 6.2823 |
108 | 3.3333 | 0.0582 | 0.0582 | 6.2823 |
110 | 3.2727 | 0.0571 | 0.0571 | 6.2823 |
112 | 3.2143 | 0.0561 | 0.0561 | 6.2824 |
114 | 3.1579 | 0.0551 | 0.0551 | 6.2824 |
116 | 3.1034 | 0.0542 | 0.0542 | 6.2824 |
118 | 3.0508 | 0.0532 | 0.0532 | 6.2824 |
120 | 3.0000 | 0.0524 | 0.0524 | 6.2825 |
122 | 2.9508 | 0.0515 | 0.0515 | 6.2825 |
124 | 2.9032 | 0.0507 | 0.0507 | 6.2825 |
126 | 2.8571 | 0.0499 | 0.0499 | 6.2825 |
128 | 2.8125 | 0.0491 | 0.0491 | 6.2826 |
130 | 2.7692 | 0.0483 | 0.0483 | 6.2826 |
132 | 2.7273 | 0.0476 | 0.0476 | 6.2826 |
134 | 2.6866 | 0.0469 | 0.0469 | 6.2826 |
136 | 2.6471 | 0.0462 | 0.0462 | 6.2826 |
138 | 2.6087 | 0.0455 | 0.0455 | 6.2826 |
140 | 2.5714 | 0.0449 | 0.0449 | 6.2827 |
142 | 2.5352 | 0.0442 | 0.0442 | 6.2827 |
144 | 2.5000 | 0.0436 | 0.0436 | 6.2827 |
146 | 2.4658 | 0.0430 | 0.0430 | 6.2827 |
148 | 2.4324 | 0.0425 | 0.0425 | 6.2827 |
150 | 2.4000 | 0.0419 | 0.0419 | 6.2827 |
152 | 2.3684 | 0.0413 | 0.0413 | 6.2827 |
154 | 2.3377 | 0.0408 | 0.0408 | 6.2827 |
156 | 2.3077 | 0.0403 | 0.0403 | 6.2828 |
158 | 2.2785 | 0.0398 | 0.0398 | 6.2828 |
160 | 2.2500 | 0.0393 | 0.0393 | 6.2828 |
162 | 2.2222 | 0.0388 | 0.0388 | 6.2828 |
164 | 2.1951 | 0.0383 | 0.0383 | 6.2828 |
166 | 2.1687 | 0.0379 | 0.0378 | 6.2828 |
168 | 2.1429 | 0.0374 | 0.0374 | 6.2828 |
170 | 2.1176 | 0.0370 | 0.0370 | 6.2828 |
172 | 2.0930 | 0.0365 | 0.0365 | 6.2828 |
174 | 2.0690 | 0.0361 | 0.0361 | 6.2828 |
176 | 2.0455 | 0.0357 | 0.0357 | 6.2829 |
178 | 2.0225 | 0.0353 | 0.0353 | 6.2829 |
180 | 2.0000 | 0.0349 | 0.0349 | 6.2829 |
182 | 1.9780 | 0.0345 | 0.0345 | 6.2829 |
184 | 1.9565 | 0.0341 | 0.0341 | 6.2829 |
186 | 1.9355 | 0.0338 | 0.0338 | 6.2829 |
188 | 1.9149 | 0.0334 | 0.0334 | 6.2829 |
190 | 1.8947 | 0.0331 | 0.0331 | 6.2829 |
192 | 1.8750 | 0.0327 | 0.0327 | 6.2829 |
194 | 1.8557 | 0.0324 | 0.0324 | 6.2829 |
196 | 1.8367 | 0.0321 | 0.0321 | 6.2829 |
198 | 1.8182 | 0.0317 | 0.0317 | 6.2829 |
200 | 1.8000 | 0.0314 | 0.0314 | 6.2829 |
202 | 1.7822 | 0.0311 | 0.0311 | 6.2829 |
204 | 1.7647 | 0.0308 | 0.0308 | 6.2829 |
206 | 1.7476 | 0.0305 | 0.0305 | 6.2829 |
208 | 1.7308 | 0.0302 | 0.0302 | 6.2829 |
210 | 1.7143 | 0.0299 | 0.0299 | 6.2830 |
212 | 1.6981 | 0.0296 | 0.0296 | 6.2830 |
214 | 1.6822 | 0.0294 | 0.0294 | 6.2830 |
216 | 1.6667 | 0.0291 | 0.0291 | 6.2830 |
218 | 1.6514 | 0.0288 | 0.0288 | 6.2830 |
220 | 1.6364 | 0.0286 | 0.0286 | 6.2830 |
222 | 1.6216 | 0.0283 | 0.0283 | 6.2830 |
224 | 1.6071 | 0.0280 | 0.0280 | 6.2830 |
226 | 1.5929 | 0.0278 | 0.0278 | 6.2830 |
228 | 1.5789 | 0.0276 | 0.0276 | 6.2830 |
230 | 1.5652 | 0.0273 | 0.0273 | 6.2830 |
232 | 1.5517 | 0.0271 | 0.0271 | 6.2830 |
234 | 1.5385 | 0.0269 | 0.0269 | 6.2830 |
236 | 1.5254 | 0.0266 | 0.0266 | 6.2830 |
238 | 1.5126 | 0.0264 | 0.0264 | 6.2830 |
240 | 1.5000 | 0.0262 | 0.0262 | 6.2830 |
242 | 1.4876 | 0.0260 | 0.0260 | 6.2830 |
244 | 1.4754 | 0.0258 | 0.0258 | 6.2830 |
246 | 1.4634 | 0.0255 | 0.0255 | 6.2830 |
248 | 1.4516 | 0.0253 | 0.0253 | 6.2830 |
250 | 1.4400 | 0.0251 | 0.0251 | 6.2830 |
252 | 1.4286 | 0.0249 | 0.0249 | 6.2830 |
254 | 1.4173 | 0.0247 | 0.0247 | 6.2830 |
256 | 1.4063 | 0.0245 | 0.0245 | 6.2830 |
258 | 1.3953 | 0.0244 | 0.0244 | 6.2830 |
260 | 1.3846 | 0.0242 | 0.0242 | 6.2830 |
262 | 1.3740 | 0.0240 | 0.0240 | 6.2830 |
264 | 1.3636 | 0.0238 | 0.0238 | 6.2830 |
266 | 1.3534 | 0.0236 | 0.0236 | 6.2830 |
268 | 1.3433 | 0.0234 | 0.0234 | 6.2830 |
270 | 1.3333 | 0.0233 | 0.0233 | 6.2830 |
272 | 1.3235 | 0.0231 | 0.0231 | 6.2830 |
274 | 1.3139 | 0.0229 | 0.0229 | 6.2830 |
276 | 1.3043 | 0.0228 | 0.0228 | 6.2830 |
278 | 1.2950 | 0.0226 | 0.0226 | 6.2831 |
280 | 1.2857 | 0.0224 | 0.0224 | 6.2831 |
282 | 1.2766 | 0.0223 | 0.0223 | 6.2831 |
284 | 1.2676 | 0.0221 | 0.0221 | 6.2831 |
286 | 1.2587 | 0.0220 | 0.0220 | 6.2831 |
288 | 1.2500 | 0.0218 | 0.0218 | 6.2831 |
290 | 1.2414 | 0.0217 | 0.0217 | 6.2831 |
292 | 1.2329 | 0.0215 | 0.0215 | 6.2831 |
294 | 1.2245 | 0.0214 | 0.0214 | 6.2831 |
296 | 1.2162 | 0.0212 | 0.0212 | 6.2831 |
298 | 1.2081 | 0.0211 | 0.0211 | 6.2831 |
300 | 1.2000 | 0.0209 | 0.0209 | 6.2831 |
302 | 1.1921 | 0.0208 | 0.0208 | 6.2831 |
304 | 1.1842 | 0.0207 | 0.0207 | 6.2831 |
306 | 1.1765 | 0.0205 | 0.0205 | 6.2831 |
308 | 1.1688 | 0.0204 | 0.0204 | 6.2831 |
310 | 1.1613 | 0.0203 | 0.0203 | 6.2831 |
312 | 1.1538 | 0.0201 | 0.0201 | 6.2831 |
314 | 1.1465 | 0.0200 | 0.0200 | 6.2831 |
316 | 1.1392 | 0.0199 | 0.0199 | 6.2831 |
318 | 1.1321 | 0.0198 | 0.0198 | 6.2831 |
320 | 1.1250 | 0.0196 | 0.0196 | 6.2831 |
322 | 1.1180 | 0.0195 | 0.0195 | 6.2831 |
324 | 1.1111 | 0.0194 | 0.0194 | 6.2831 |
326 | 1.1043 | 0.0193 | 0.0193 | 6.2831 |
328 | 1.0976 | 0.0192 | 0.0192 | 6.2831 |
330 | 1.0909 | 0.0190 | 0.0190 | 6.2831 |
332 | 1.0843 | 0.0189 | 0.0189 | 6.2831 |
334 | 1.0778 | 0.0188 | 0.0188 | 6.2831 |
336 | 1.0714 | 0.0187 | 0.0187 | 6.2831 |
338 | 1.0651 | 0.0186 | 0.0186 | 6.2831 |
340 | 1.0588 | 0.0185 | 0.0185 | 6.2831 |
342 | 1.0526 | 0.0184 | 0.0184 | 6.2831 |
344 | 1.0465 | 0.0183 | 0.0183 | 6.2831 |
346 | 1.0405 | 0.0182 | 0.0182 | 6.2831 |
348 | 1.0345 | 0.0181 | 0.0181 | 6.2831 |
350 | 1.0286 | 0.0180 | 0.0180 | 6.2831 |
352 | 1.0227 | 0.0178 | 0.0178 | 6.2831 |
354 | 1.0169 | 0.0177 | 0.0177 | 6.2831 |
356 | 1.0112 | 0.0176 | 0.0176 | 6.2831 |
358 | 1.0056 | 0.0176 | 0.0176 | 6.2831 |
360 | 1.0000 | 0.0175 | 0.0175 | 6.2831 |
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