SECTION C
Factors From Finite Areas to Finite Areas

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C-58: Ring around base of hemisphere to section of hemisphere.

 

Reference: Ballance and Donovan

Definitions:

R = r2/r1;  H = h/r1

a = sin-1H

Tabular Results:

R	H
	.259	.500	.707	.866	.966	1.0
	a = 15°	a = 30°	a = 45°	a = 60°	a = 75°	a = 90°
1.0	.500	.500	.500	.500	.500	.500
1.1	.293	.301	.307	.296	.302	.300
1.2	.227	.242	.246	.249	.245	.245
1.3	.184	.206	.208	.203	.207	.209
1.4	.149	.178	.182	.180	.188	.182
1.5	.129	.157	.169	.150	.156	.160
1.6	.109	.144	.141	.143	.142	.143
1.7	.091	.117	.127	.125	.131	.126
1.8	.079	.109	.115	.110	.108	.112
1.9	.071	.096	.103	.106	.102	.103
2.0	.061	.090	.094	.089	.094	.093
2.2	.046	.070	.077	.076	.076	.076
2.4	.040	.061	.065	.068	.065	.066
2.6	.036	.052	.058	.059	.060	.059
2.8	.030	.043	.047	.051	.052	.049
3.0	.027	.040	.041	.046	.045	.045
3.2	.022	.033	.040	.038	.039	.039
3.4	.019	.031	.034	.035	.037	.035
3.6	.018	.030	.025	.033	.032	.032
3.8	.015	.021	.023	.030	.028	.027
4.0	.014	.023	.023	.026	.026	.027
4.2	.011	.020	.022	.024	.023	.024
4.4	.013	.018	.022	.022	.023	.022
4.6	.012	.017	.020	.020	.025	.022
4.8	.009	.015	.020	.020	.018	.019
5.0	.008	.013	.016	.016	.018	.017

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