To be honest, I wouldn't say any of those sentences, VT. I might say these: (a) The radio has been broken since last month. (b) The radio broke last month.
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Vincent TeoCan I say,
(a) The radio was broken yesterday / last week. Yes, and I'd say the word 'broken' is used as an adjective.
(b) The radio is broken just now / now. 'Now' is OK, but 'just now' would only work if it is used to mean 'at this particular moment' rather than 'just a moment ago'. However