Drawing of Circle Marked Every 45 Degrees

Chord Length Reckoner

radius (m, ft ..)

no. segments

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 - Fifty - in the table is for a "unit circle" with radius = ane.

To summate the actual length of a chord - multiply the "unit circle" length - L - with the radius for the the actual circumvolve.

Instance - Chord Length

A circle with radius 3 k 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 circumvolve with radius 3 thou tin exist calculated every bit

0.2611 (3 one thousand) = 0.7833 k

The summarized length of all chords in the circle can be calculated every bit

(0.7833 m) 24

= 6.2653 (3m)

= 18.7959 thousand

The circumference of the circle can be calculated as

C = two π r

   =ii π (3 one thousand)

= 18.8496 1000

Number of Segments - n -	Middle Bending - θ -		Length of Single Chord - 50 -	Summarized Lengths of Chords
	degrees	radians
2	180.0000	three.1416	2.0000	4.0000
4	90.0000	1.5708	ane.4142	5.6569
6	threescore.0000	1.0472	one.0000	6.0000
viii	45.0000	0.7854	0.7654	half dozen.1229
10	36.0000	0.6283	0.6180	vi.1803
12	30.0000	0.5236	0.5176	6.2117
14	25.7143	0.4488	0.4450	half-dozen.2306
16	22.5000	0.3927	0.3902	6.2429
18	xx.0000	0.3491	0.3473	six.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	half dozen.2679
28	12.8571	0.2244	0.2239	6.2700
30	12.0000	0.2094	0.2091	half-dozen.2717
32	11.2500	0.1963	0.1960	vi.2731
34	10.5882	0.1848	0.1845	6.2742
36	10.0000	0.1745	0.1743	half dozen.2752
38	9.4737	0.1653	0.1652	half-dozen.2760
40	nine.0000	0.1571	0.1569	6.2767
42	eight.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	vi.2787
50	seven.2000	0.1257	0.1256	6.2791
52	six.9231	0.1208	0.1208	half-dozen.2794
54	6.6667	0.1164	0.1163	half-dozen.2796
56	6.4286	0.1122	0.1121	vi.2799
58	6.2069	0.1083	0.1083	6.2801
lx	vi.0000	0.1047	0.1047	6.2803
62	5.8065	0.1013	0.1013	6.2805
64	five.6250	0.0982	0.0981	6.2807
66	5.4545	0.0952	0.0952	6.2808
68	v.2941	0.0924	0.0924	half-dozen.2810
lxx	5.1429	0.0898	0.0897	half dozen.2811
72	five.0000	0.0873	0.0872	6.2812
74	4.8649	0.0849	0.0849	vi.2813
76	4.7368	0.0827	0.0826	half dozen.2814
78	4.6154	0.0806	0.0805	half dozen.2815
80	iv.5000	0.0785	0.0785	half-dozen.2816
82	4.3902	0.0766	0.0766	half-dozen.2816
84	4.2857	0.0748	0.0748	half-dozen.2817
86	4.1860	0.0731	0.0730	6.2818
88	four.0909	0.0714	0.0714	6.2819
90	iv.0000	0.0698	0.0698	6.2819
92	three.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	six.2821
100	3.6000	0.0628	0.0628	six.2822
102	3.5294	0.0616	0.0616	half dozen.2822
104	3.4615	0.0604	0.0604	6.2822
106	iii.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	three.1579	0.0551	0.0551	6.2824
116	3.1034	0.0542	0.0542	6.2824
118	3.0508	0.0532	0.0532	vi.2824
120	3.0000	0.0524	0.0524	6.2825
122	two.9508	0.0515	0.0515	6.2825
124	two.9032	0.0507	0.0507	6.2825
126	2.8571	0.0499	0.0499	6.2825
128	ii.8125	0.0491	0.0491	6.2826
130	2.7692	0.0483	0.0483	6.2826
132	ii.7273	0.0476	0.0476	6.2826
134	2.6866	0.0469	0.0469	6.2826
136	2.6471	0.0462	0.0462	six.2826
138	two.6087	0.0455	0.0455	6.2826
140	ii.5714	0.0449	0.0449	vi.2827
142	2.5352	0.0442	0.0442	6.2827
144	two.5000	0.0436	0.0436	vi.2827
146	two.4658	0.0430	0.0430	vi.2827
148	ii.4324	0.0425	0.0425	vi.2827
150	ii.4000	0.0419	0.0419	6.2827
152	two.3684	0.0413	0.0413	6.2827
154	2.3377	0.0408	0.0408	6.2827
156	ii.3077	0.0403	0.0403	6.2828
158	2.2785	0.0398	0.0398	half dozen.2828
160	2.2500	0.0393	0.0393	half-dozen.2828
162	2.2222	0.0388	0.0388	half-dozen.2828
164	2.1951	0.0383	0.0383	6.2828
166	two.1687	0.0379	0.0378	half dozen.2828
168	2.1429	0.0374	0.0374	vi.2828
170	ii.1176	0.0370	0.0370	6.2828
172	2.0930	0.0365	0.0365	half-dozen.2828
174	ii.0690	0.0361	0.0361	half dozen.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	one.8557	0.0324	0.0324	half-dozen.2829
196	1.8367	0.0321	0.0321	6.2829
198	one.8182	0.0317	0.0317	6.2829
200	ane.8000	0.0314	0.0314	6.2829
202	ane.7822	0.0311	0.0311	6.2829
204	1.7647	0.0308	0.0308	half-dozen.2829
206	1.7476	0.0305	0.0305	6.2829
208	1.7308	0.0302	0.0302	half dozen.2829
210	1.7143	0.0299	0.0299	6.2830
212	1.6981	0.0296	0.0296	half dozen.2830
214	i.6822	0.0294	0.0294	half dozen.2830
216	i.6667	0.0291	0.0291	6.2830
218	1.6514	0.0288	0.0288	6.2830
220	1.6364	0.0286	0.0286	half-dozen.2830
222	1.6216	0.0283	0.0283	6.2830
224	i.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	half dozen.2830
232	one.5517	0.0271	0.0271	half dozen.2830
234	1.5385	0.0269	0.0269	6.2830
236	1.5254	0.0266	0.0266	6.2830
238	i.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	i.4754	0.0258	0.0258	half-dozen.2830
246	i.4634	0.0255	0.0255	six.2830
248	1.4516	0.0253	0.0253	6.2830
250	1.4400	0.0251	0.0251	6.2830
252	i.4286	0.0249	0.0249	6.2830
254	1.4173	0.0247	0.0247	6.2830
256	1.4063	0.0245	0.0245	six.2830
258	1.3953	0.0244	0.0244	six.2830
260	1.3846	0.0242	0.0242	6.2830
262	1.3740	0.0240	0.0240	vi.2830
264	1.3636	0.0238	0.0238	6.2830
266	1.3534	0.0236	0.0236	six.2830
268	one.3433	0.0234	0.0234	6.2830
270	1.3333	0.0233	0.0233	6.2830
272	1.3235	0.0231	0.0231	half dozen.2830
274	one.3139	0.0229	0.0229	six.2830
276	one.3043	0.0228	0.0228	six.2830
278	1.2950	0.0226	0.0226	6.2831
280	1.2857	0.0224	0.0224	vi.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	vi.2831
294	ane.2245	0.0214	0.0214	six.2831
296	i.2162	0.0212	0.0212	half-dozen.2831
298	i.2081	0.0211	0.0211	6.2831
300	1.2000	0.0209	0.0209	6.2831
302	1.1921	0.0208	0.0208	half-dozen.2831
304	one.1842	0.0207	0.0207	6.2831
306	one.1765	0.0205	0.0205	6.2831
308	1.1688	0.0204	0.0204	6.2831
310	1.1613	0.0203	0.0203	vi.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	i.1321	0.0198	0.0198	6.2831
320	ane.1250	0.0196	0.0196	six.2831
322	i.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	i.0976	0.0192	0.0192	6.2831
330	1.0909	0.0190	0.0190	6.2831
332	ane.0843	0.0189	0.0189	6.2831
334	1.0778	0.0188	0.0188	vi.2831
336	ane.0714	0.0187	0.0187	vi.2831
338	1.0651	0.0186	0.0186	6.2831
340	one.0588	0.0185	0.0185	half dozen.2831
342	1.0526	0.0184	0.0184	six.2831
344	one.0465	0.0183	0.0183	vi.2831
346	ane.0405	0.0182	0.0182	6.2831
348	ane.0345	0.0181	0.0181	vi.2831
350	1.0286	0.0180	0.0180	6.2831
352	1.0227	0.0178	0.0178	6.2831
354	i.0169	0.0177	0.0177	vi.2831
356	i.0112	0.0176	0.0176	6.2831
358	1.0056	0.0176	0.0176	six.2831
360	1.0000	0.0175	0.0175	6.2831

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Source: https://www.engineeringtoolbox.com/chord-length-circumference-circle-segments-d_1870.html

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