How did way the US gained Alaska differ from way the US gained Hawaii?

The U.S. gained Alaska through a purchase from Russia in 1867 for $7.2 million, a deal largely orchestrated by Secretary of State William H. Seward, who believed it would expand American territory and resources. In contrast, Hawaii was annexed in 1898 following a series of events that included the overthrow of the Hawaiian monarchy by American settlers and business interests. The annexation was controversial and involved significant military and political maneuvering, reflecting a more aggressive imperial approach compared to the straightforward purchase of Alaska.