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Jaime Focused se
Jaina Formulas for the Arc of
a Circular Segment
adme of
RADHA CHARAN GUPTA
Let AB be a chord of a circle whose centre is at 0. The middle point of the chord is at N, and M is the mid-point of the bounding arc forming the segment A NBM which is assumed to be not greater than the semi-circle.
Let chord ANB = c
arc AMB = s
height MN = h and radius OM = r = d/2 We have
AM = AN2+MN=(c/2)+h3 Therefore, the length of the broken chord AMB
= AM+MB=2AM = (c2+4h28
Thus we see that the length of the arc AMB must be greater than expression (1), that is
s >(c2+4h27
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