________________
(3.32) A2 = [/2 (cy2 + c2212b.
The area A2 is less than the circumscribed isosceles trapezium Albicldl. for a plausible derivation of (3.32), refer [7].
The Spherical Segment
The GSS ([14], see also [8]) enunciates the following rule to find the surface area of a spherical segment:
Rugat agerft falu RPJUT: Hlaic
A4 A4 ||||:25||
This means (cf. [8]): Know that one fourth of the circumference multiplied by viskambha gives the area (of the concave and convex surfaces). According to Gupta [8], this can be interpreted as the following:
A=(p/4) (curvilinear breadth) = a ds/4 or (4.1) A=tr2 sino using p = id, d2r sin) and s = 2ro. However, the true surface area is (4.2) Ap=26 th = 21 r2 (1 - Coso) wherein h=r(1 - CosO).
Figure 5: Spherical Segment
tha
to dama
The degree of validity of the surface area given by (4.1) may be estimated just by finding the percentage of error Eo (refer Table 4):
sino
- 1
x 100
50 - [- 1] + 10 = (2, - eston - 1] x 100
-
1
x 100 =
OSA
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