Page 21 - Standard Handbook Of Petroleum & Natural Gas Engineering
P. 21
10 Mathematics
Annulus (Figure 1-9)
area = n(R2 - r2) = n(D2 - d2)/4 = 2nR'b
where R' = mean radius = 1/2 (R + r)
b=R-r
Sector (Figure 1-10)
area = 1/2 0 rs = xr2A/36O0 = 1/2 r2 rad A
where rad A = radian measure of angle A
s = length of arc = r rad A
Segment (Figure 1-11)
area = 1/2 r2 (rad A - sin A) = 1/2[r(s - c) + ch]
