I know I should avoid For cycles in mathematica, but I am C person...
how to do this without For
(*--------initialization------------------*)
n = 10^2;
xoi = RandomReal[{-10, 10}, {n}];
yoi = RandomReal[{-10, 10}, {n}];
ri = RandomReal[{0, 10}, {n}];
-----------------------------------
(*
n=10^2;
Clear[circles];
circles = Table[Null, {n}];
For[i = 1, i <= n, i++,
circles[[i]] = {xoi[[i]] + ri[[i]]*Cos[t], yoi[[i]] + ri[[i]]*Sin[t]}]
(*---------------displaying--------------------*)
ParametricPlot[circles, {t, 0, 2 Pi}, PlotStyle -> Black]
circles = {centers[[#, 1]] + radii[[#]] Cos[t],
centers[[#, 2]] + radii[[#]] Sin[t]} & /@ Range[n];
ParametricPlot[circles, {t, 0, 2 Pi}, PlotStyle -> Black]
-Francesco