FWIW, find here a home-made Plots.jl solution:
using Random, Measures, Plots; gr()
# INPUT DATA:
Random.seed!(1789)
n = 8
R1, R2 = rand(n+1), rand(n+1)
R1[n+1], R2[n+1] = R1[1], R2[1]
labels = 'C' .* string.(1:n)
# PLOT:
θ = LinRange(0, 2pi, n+1)
z = 1.15*exp.(im*2π*(0:n-1)/n)
plot(θ, R1, proj=:polar, ms=3, m=:o, c=:blue, fill=(true,:blues), fa=0.4, lims=(0,1), xaxis=false, margin=5mm)
plot!(θ, R2, proj=:polar, ms=3, m=:o, c=:red, fill=(true,:reds), fa=0.4, lims=(0,1), xaxis=false)
annotate!(real.(z), imag.(z), text.(labels,12,"Computer Modern"))
