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Table For Use In Designing Redial Type Brick

If the outside chord of a radial brick is desired for a given number of pieces per ring, find the number of pieces in column 1 and multiply the corresponding sine of the half angle in column 2 by the outside diameter of the ring. If brick with an outside chord of approximately 9'' is desired, find the diameter in column 3 that comes closest to the desired outside diameter. Then multiply the corresponding sine of the half angle in column 2 by the desired outside diameter to obtain the actual chord. The number of pieces to form a ring will be found in column 1.

No of brick to Circle (1)
05
06
07
08
09
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52

Sine of Half Angle (2)
0.58779
0.50000
0.43388
0.38268
0.34202
0.30902
0.28173
0.25882
0.23932
0.22252
0.20791
0.19509
0.18375
0.17365
0.16459
0.15643
0.14904
0.14231
0.13616
0.13053
0.12533
0.12054
0.11609
0.11197
0.10812
0.10453
0.10117
0.09802
0.09506
0.09227
0.08964
0.06716
0.08481
0.08258
0.08047
0.07846
0.07655
0.07473
0.07299
0.07134
0.06776
0.06825
0.06680
0.06540
0.06407
0.06279
0.06159
0.06038

Dia. for 9" Chord in inches (3)
15.312
18.000
20743
23.518
26.314
29.124
31.945
34.773
37.607
40.446
43.288
46.133
48.980
51.681
54.681
57.534
60.386
63.242
66.099
68.950
71.810
74.664
77.526
80.379
83.241
86.100
88.959
91.818
94.670
97.540
100.402
103.258
106.120
108.985
111.843
114.708
117.570
120.434
123.305
126.156
129.014
131.868
134.731
137.615
140.471
143.335
146.199
149.056

No of brick to Circle (1)
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100

Sine of Half Angle (2)
0.05924
0.05815
0.05709
0.05607
0.05508
0.05414
0.05322
0.05234
0.05147
0.05065
0.04985
0.04907
0.04832
0.04758
0.04687
0.04618
0.04552
0.04486
0.04423
0.04362
0.04302
0.04244
0.04188
0.04132
0.04079
0.04027
0.03975
0.03926
0.03878
0.03830
0.03784
0.03739
0.03695
0.03652
0.03610
0.03569
0.03529
0.03490
0.03452
0.03414
0.03377
0.03341
0.03306
0.03272
0.03238
0.03205
0.03173
0.03141

Dia. for 9" Chord in inches (3)
151.924
154.772
157.646
160.514
163.399
166.236
169.109
171.953
174.859
177.590
180.542
183.411
186.258
189.155
192.020
194.890
197.715
200.624
203.482
206.327
209.205
212.064
214.900
217.612
220.642
223.491
226.415
229.241
232.078
234.987
237.844
240.706
243.572
246.540
249.307
252.171
255.030
257.880
260.718
263.620
266.509
269.380
272.232
275.061
277.949
280.811
283.643
286.533