The transition to a circular economy (CE) is increasingly recognized as a strategic priority for companies striving for more sustainable business operations. Previous CE research adopted different firm-level strategy perspectives with varying degrees of alignment to the management literature. However, scholars have struggled to combine these perspectives in ways that effectively guide firms' transitions towards a CE. This study aims to unpack the CE strategy concept and examine it as a system of interconnected perspectives. First, drawing on the existing literature, we propose a nuanced framework that distinguishes between CE design, innovation and organizational strategies. Second, using empirical data from the Swedish wood construction industry, we analyse CE strategies as distinct configurations by applying configuration theory and a configurational approach. Through fuzzy-set qualitative comparative analysis (fsQCA), we identify four firm-level configurations that demonstrate different design efforts to achieve high levels of circularity. These configurations are enabled by specific innovation strategies and organizational capabilities within companies. Our findings offer valuable contributions to CE research and provide actionable insights for managerial practices.