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How big is 564 square miles?

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It's about one-and-one-tenth times as big as Kaua'i.
In other words, 564 square miles is 1.0212 times the size of Kaua'i, and the size of Kaua'i is 0.979240 times that amount.
(a.k.a. Kauai, a.k.a. The Garden Isle, a.k.a. Taua'i) (Hawaii)
The fourth-largest of the Hawaiian Islands, Kaua'I measures 552.280 square miles in total area. It is known as the home of Nā Pali Coast State Park.
It's about as big as Houston.
In other words, the size of Houston is 1.028 times 564 square miles.
(Texas)
The largest city in Texas and the fourth-largest city in the United States as of 2009, Houston measures 579.50 square miles in total area. The city is known for its broad corporate base, prominence in oilfield equipment, and for its port, which accepts more cargo than any other port in the United States.
It's about nine-tenths as big as Oahu.
In other words, 564 square miles is 0.945290 times the size of Oahu, and the size of Oahu is 1.0579 times that amount.
(a.k.a. O`ahu, a.k.a. The Gathering Place) (Hawaii)
The third-largest of the Hawaiian Islands, Oahu measures 596.640 square miles in total area. It is known as the home of the state capital, Honolulu, as the site of the 1941 attack on Pearl Harbor, and as the filming location of numerous movies and television shows.
It's about nine-tenths as big as Oklahoma City.
In other words, 564 square miles is 0.90525580 times the size of Oklahoma City, and the size of Oklahoma City is 1.104660 times that amount.
(a.k.a. OK City, a.k.a. OKC) (Oklahoma)
The capital and largest city in the state, Oklahoma City measures 623.0283 square miles. The city is known for its energy exploration and information technology industries and as the location of the 1995 bombing of the Murrah Federal Building by Timothy McVeigh.
It's about one-and-one-fifth times as big as Phoenix.
In other words, 564 square miles is 1.190 times the size of Phoenix, and the size of Phoenix is 0.840 times that amount.
(Arizona)
The capital of and largest city in Arizona and fifth-largest city in the United States as of 2009, Phoenix measures 475 square miles in total area. The city is known as an economic and cultural center of the American Southwest.
It's about one-and-one-fifth times as big as Los Angeles.
In other words, 564 square miles is 1.2020 times the size of Los Angeles, and the size of Los Angeles is 0.83190 times that amount.
(a.k.a. LA, a.k.a. City of Angels) (California)
The largest city in California and the sixth-largest city in the United States, Los Angeles measures 469.10 square miles in total area. The city is known as the "Entertainment Capital of the World" for its contributions to media, entertainment, and culture.
It's about four-fifths as big as Butte.
In other words, 564 square miles is 0.7867780 times the size of Butte, and the size of Butte is 1.2710070 times that amount.
(The City and County of Butte-Silver Bow) (Montana)
The eighth-largest city in the country and the second-largest in Montana, the Butte-Silver Bow City County measures 716.84770 square miles. The city was called "the Richest Hill on Earth" for its numerous copper, silver, and gold mines.