Dave's got you covered, here, for sure.
The tricky bit is keeping the individual boards seperate from each other. It's easy if you don't want to play with each board after you've made the circle. In that case, you wouldn't have to make each board a component, just place 'em side by side - they'll snap together into one solid shape - but then you can just draw your circle and it'll do the same. Then you just have to either push/pull the extra stuff out of the way or just delete the outside stuff.
It's an interesting one ... i think tracing the arcs are the only way to do it if they're components, like dave said.