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February 9th, 2012, 09:51 AM   #1
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Equal areas defined by parallel chords in a circle

Been trying to calculate multiple equal areas defined by parallel chords in a circle
to mark off fuel levels on the end a horizontal cylindrical tank.
Located applicable equations at http://en.wikipedia.org/wiki/Circular_segment#Formulas
as follows:
Area of each segment: A = ((R^2)/2)*(theta - sin(theta)).
and
Height of each segment: h = R(1-cos(theta)/2)

Assuming seven equal segment areas the central angle for topmost
chord was calculated as 108.3 degrees, which cannot be correct.
Repeatedly reviewed calculations to verify 108.3 degrees but
found no arithmetic errors.

Need some assistance.

Thanks,
ballensr@gmail.com

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