The state of Louisiana covers an area of approximately 135,659 square kilometers. The total water area in Louisiana (lakes, rivers, etc.) is about 23,761 square kilometers. An infographic designer wants to show this total water area as a small circle inside a larger circle representing the whole state. The ratio of the area of the two circles should be the same as the ratio of the actual areas. (a) If the radius of the circle representing the water area of Louisiana is 7.0 cm, what should the designer use for the radius of the circle for the state's total area? Report your answer to the nearest tenth of a centimeter (cm).

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
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The state of Louisiana covers an area of approximately 135,659 square kilometers. The total water area in Louisiana (lakes, rivers, etc.) is about 23,761 square kilometers.

An infographic designer wants to show this total water area as a small circle inside a larger circle representing the whole state. The ratio of the area of the two circles should be the same as the ratio of the actual areas.

(a) If the radius of the circle representing the water area of Louisiana is 7.0 cm, what should the designer use for the radius of the circle for the state's total area? Report your answer to the nearest tenth of a centimeter (cm).

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