Born in the town of Nevesinje within the Herzegovina region, Radovanović, still an infant, was brought by his parents to Nikšić, PR Montenegro where he grew up. A tall and lanky kid, Radovanović took up basketball in Nikšić on an informal, recreational basis in 1969. In May 1970, the senior Yugoslav national team won the 1970 FIBA World Championship, resulting in an explosion of popularity for the sport throughout the country — a trend Radovanović followed, as he started training a lot more seriously. It wasn't long before he got noticed by the Bosna sports society general secretary Vukašin "Vule" Vukalović who recommended the youngster to KK Bosnahead coachBogdan Tanjević.
Radovanović arrived to Sarajevo in October 1972, having just turned 16 years of age. Though officially part of the KK Bosna youth system, first team head coach Tanjević would already give him an odd first team run-out during the 1972-73 season, the club's first ever in the Yugoslav top-tier league. Throughout the 1973-74 season, seventeen-year-old Radovanović recorded 17 first team appearances in the Yugoslav First League, scoring a total of 43 points. During the 1974-75 season, the eighteen-year-old's continued improvement led to a permanent move to the first team. His league scoring average over the season reached 5.8 points per game.
National team
Youth
Radovanović got picked for the Yugoslav cadet national team at the European Championship for Cadets, held in Italy during July 1973, making a modest contribution to Yugoslavia's bronze medal effort with 2.2 points per game. The following summer, he made the Yugoslav junior squad at the European Championship for Juniors, in France, this time playing a much larger role on a team coached by Tanjević, his club head coach at Bosna. Radovanović contributed with 13.8 points per game, as the Yugoslav team — featuring Branko Skroče, Mihovil Nakić, Andro Knego, and Rajko Žižić, among others — won gold.
Right after retiring from playing basketball in 1990 in Venice, thirty-three-year-old Radovanović moved to Sarajevo with his wife and their two young children. Returning to the city where he had previously lived for eleven years between 1972 and 1983 while with KK Bosna, he invested some of his money in healthcare by opening a private dental office. Less than two years after that, the Bosnian War broke out and Radovanović and his family fled to Belgrade where he has been living ever since.
In 1996, Radovanović joined the front office of FMP Železnik — a club that had just finished playing its first ever season in FR Yugoslavia's top-tier league — in the sporting director capacity. Working under the club's owner and president Nebojša Čović, Radovanović handled player personnel issues — helping FMP Železnik become a noted producer of basketball talent. In the 1996-97 season, Radovanović's first with the club, FMP Železnik won the FR Yugoslavia Cup competition — its very first piece of silverware. However, instead of keeping the Cup-winning squad intact, the club decided to sell them and turn to bringing up a generation of 17 and 18-year-olds from its youth system into the first team. With Čović's financial support, Radovanović implemented a player development system in FMP that relied on identifying and acquiring talented teenagers from all over FR Yugoslavia / Serbia-Montenegro / Serbia during early stages of their basketball development, working with them within the club's system featuring academy-like facilities at the Belgrade suburb of Železnik where in addition to training they also lived and studied, and later selling them at a profit to bigger clubs. Players developed in the club during Radovanović's tenure include: Miloš Teodosić, Zoran Erceg, Aleksandar Rašić, Dejan Musli, Miroslav Raduljica, Mladen Šekularac, Dejan Milojević, Ognjen Aškrabić, Duško Savanović, Vladimir Radmanović and Mile Ilić. After fourteen years at the club, Radovanović parted ways with FMP Železnik in 2010 at the beginning of the 2010-11 season. In August 2017, following seven years away from basketball, Radovanović almost came back to the sport as KK Partizan's youth system director. The news of his return even got announced by the Serbian press outlets, however, nothing came of it in the end with Radovanović later revealing that negotiations with KK Partizan lasted over a month with no deal ultimately being made.