Draw a Circle Divided Equally Into 27 Points

Chord Length Estimator

radius (thousand, 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 - L - in the tabular array is for a "unit circle" with radius = one.

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 beneath: 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 iii thou tin can exist calculated as

0.2611 (3 m) = 0.7833 one thousand

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

(0.7833 g) 24

= 6.2653 (3m)

= 18.7959 m

The circumference of the circle can be calculated equally

C = 2 π r

   =ii π (3 thou)

= eighteen.8496 m

Number of Segments - north -	Heart Angle - θ -		Length of Unmarried Chord - L -	Summarized Lengths of Chords
	degrees	radians
2	180.0000	3.1416	2.0000	4.0000
4	90.0000	1.5708	i.4142	v.6569
6	lx.0000	1.0472	1.0000	half dozen.0000
8	45.0000	0.7854	0.7654	6.1229
x	36.0000	0.6283	0.6180	6.1803
12	30.0000	0.5236	0.5176	6.2117
xiv	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
twenty	18.0000	0.3142	0.3129	half-dozen.2574
22	16.3636	0.2856	0.2846	6.2619
24	xv.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	half dozen.2731
34	10.5882	0.1848	0.1845	half dozen.2742
36	ten.0000	0.1745	0.1743	six.2752
38	9.4737	0.1653	0.1652	6.2760
40	9.0000	0.1571	0.1569	six.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	half dozen.2783
48	7.5000	0.1309	0.1308	half-dozen.2787
50	seven.2000	0.1257	0.1256	half-dozen.2791
52	6.9231	0.1208	0.1208	vi.2794
54	half-dozen.6667	0.1164	0.1163	6.2796
56	6.4286	0.1122	0.1121	6.2799
58	half-dozen.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	v.2941	0.0924	0.0924	vi.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	half-dozen.2813
76	4.7368	0.0827	0.0826	6.2814
78	4.6154	0.0806	0.0805	half-dozen.2815
80	4.5000	0.0785	0.0785	vi.2816
82	four.3902	0.0766	0.0766	6.2816
84	4.2857	0.0748	0.0748	6.2817
86	iv.1860	0.0731	0.0730	half-dozen.2818
88	4.0909	0.0714	0.0714	6.2819
90	4.0000	0.0698	0.0698	vi.2819
92	3.9130	0.0683	0.0683	half dozen.2820
94	3.8298	0.0668	0.0668	6.2820
96	three.7500	0.0654	0.0654	6.2821
98	3.6735	0.0641	0.0641	6.2821
100	iii.6000	0.0628	0.0628	6.2822
102	3.5294	0.0616	0.0616	half-dozen.2822
104	3.4615	0.0604	0.0604	half-dozen.2822
106	3.3962	0.0593	0.0593	vi.2823
108	3.3333	0.0582	0.0582	vi.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	half-dozen.2824
118	3.0508	0.0532	0.0532	6.2824
120	iii.0000	0.0524	0.0524	six.2825
122	2.9508	0.0515	0.0515	6.2825
124	2.9032	0.0507	0.0507	half dozen.2825
126	2.8571	0.0499	0.0499	half-dozen.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	two.6866	0.0469	0.0469	vi.2826
136	ii.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	six.2827
144	2.5000	0.0436	0.0436	6.2827
146	2.4658	0.0430	0.0430	half dozen.2827
148	2.4324	0.0425	0.0425	6.2827
150	two.4000	0.0419	0.0419	six.2827
152	2.3684	0.0413	0.0413	6.2827
154	2.3377	0.0408	0.0408	half-dozen.2827
156	two.3077	0.0403	0.0403	six.2828
158	2.2785	0.0398	0.0398	half-dozen.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	vi.2828
166	2.1687	0.0379	0.0378	6.2828
168	2.1429	0.0374	0.0374	half-dozen.2828
170	ii.1176	0.0370	0.0370	six.2828
172	ii.0930	0.0365	0.0365	six.2828
174	ii.0690	0.0361	0.0361	6.2828
176	two.0455	0.0357	0.0357	6.2829
178	two.0225	0.0353	0.0353	6.2829
180	two.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	half-dozen.2829
188	1.9149	0.0334	0.0334	half dozen.2829
190	1.8947	0.0331	0.0331	half-dozen.2829
192	1.8750	0.0327	0.0327	6.2829
194	i.8557	0.0324	0.0324	six.2829
196	1.8367	0.0321	0.0321	6.2829
198	one.8182	0.0317	0.0317	6.2829
200	1.8000	0.0314	0.0314	six.2829
202	one.7822	0.0311	0.0311	6.2829
204	i.7647	0.0308	0.0308	6.2829
206	1.7476	0.0305	0.0305	vi.2829
208	ane.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	half-dozen.2830
216	ane.6667	0.0291	0.0291	6.2830
218	1.6514	0.0288	0.0288	6.2830
220	i.6364	0.0286	0.0286	6.2830
222	i.6216	0.0283	0.0283	6.2830
224	1.6071	0.0280	0.0280	6.2830
226	ane.5929	0.0278	0.0278	vi.2830
228	1.5789	0.0276	0.0276	6.2830
230	i.5652	0.0273	0.0273	half dozen.2830
232	1.5517	0.0271	0.0271	6.2830
234	one.5385	0.0269	0.0269	half-dozen.2830
236	ane.5254	0.0266	0.0266	half-dozen.2830
238	ane.5126	0.0264	0.0264	6.2830
240	ane.5000	0.0262	0.0262	6.2830
242	1.4876	0.0260	0.0260	6.2830
244	1.4754	0.0258	0.0258	half-dozen.2830
246	1.4634	0.0255	0.0255	6.2830
248	ane.4516	0.0253	0.0253	half-dozen.2830
250	1.4400	0.0251	0.0251	6.2830
252	one.4286	0.0249	0.0249	vi.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	one.3846	0.0242	0.0242	half-dozen.2830
262	1.3740	0.0240	0.0240	6.2830
264	1.3636	0.0238	0.0238	6.2830
266	one.3534	0.0236	0.0236	6.2830
268	ane.3433	0.0234	0.0234	six.2830
270	1.3333	0.0233	0.0233	6.2830
272	one.3235	0.0231	0.0231	six.2830
274	1.3139	0.0229	0.0229	vi.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	vi.2831
282	1.2766	0.0223	0.0223	half dozen.2831
284	ane.2676	0.0221	0.0221	6.2831
286	1.2587	0.0220	0.0220	vi.2831
288	one.2500	0.0218	0.0218	vi.2831
290	1.2414	0.0217	0.0217	vi.2831
292	1.2329	0.0215	0.0215	6.2831
294	i.2245	0.0214	0.0214	vi.2831
296	1.2162	0.0212	0.0212	6.2831
298	1.2081	0.0211	0.0211	half dozen.2831
300	1.2000	0.0209	0.0209	vi.2831
302	i.1921	0.0208	0.0208	6.2831
304	1.1842	0.0207	0.0207	half dozen.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	half-dozen.2831
316	1.1392	0.0199	0.0199	6.2831
318	1.1321	0.0198	0.0198	half dozen.2831
320	ane.1250	0.0196	0.0196	half-dozen.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	ane.0843	0.0189	0.0189	six.2831
334	1.0778	0.0188	0.0188	six.2831
336	1.0714	0.0187	0.0187	6.2831
338	i.0651	0.0186	0.0186	half dozen.2831
340	i.0588	0.0185	0.0185	6.2831
342	1.0526	0.0184	0.0184	6.2831
344	ane.0465	0.0183	0.0183	6.2831
346	1.0405	0.0182	0.0182	6.2831
348	1.0345	0.0181	0.0181	half dozen.2831
350	1.0286	0.0180	0.0180	half-dozen.2831
352	1.0227	0.0178	0.0178	6.2831
354	i.0169	0.0177	0.0177	6.2831
356	1.0112	0.0176	0.0176	half dozen.2831
358	1.0056	0.0176	0.0176	6.2831
360	i.0000	0.0175	0.0175	half-dozen.2831

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