This is an announcement for the paper "On the Bishop-Phelps-Bollobas property for numerical radius in C(K)-spaces" by Antonio Aviles, Antonio J. Guirao, Jose Rodriguez. Abstract: We study the Bishop-Phelps-Bollobas property for numerical radius within the framework of C(K) spaces. We present several sufficient conditions on a compact space K ensuring that C(K) has the Bishop-Phelps-Bollobas property for numerical radius. In particular, we show that C(K) has such property whenever K is metrizable. Archive classification: math.FA Mathematics Subject Classification: 46B20, 47A12, 54E45 Submitted from: avileslo@um.es The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1212.6761 or http://arXiv.org/abs/1212.6761