consider resis. /unitlength as a
radius = r
when angle at centre is 60*,
the length of minor and major arc are

r/3 and 5

r/3
resis. =

r/3*a and 5

r/3*a
they are in parallel
eff. resis = 5a

r/18 = R
when angle at centre = 90* ,the arc lengths are

r/2 and 3

r/2
resis. =

r/2*a and 3

r/2*a
they are in parallel ...effe resis. = 3ar

/8 = 1.35R