The state of Hawaii covers an area of approximately 28,313 square kilometers. The total water area in Hawaii (lakes, rivers, etc.) is about 11,678 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 Hawaii is 6.5 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).
The state of Hawaii covers an area of approximately 28,313 square kilometers. The total water area in Hawaii (lakes, rivers, etc.) is about 11,678 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
(a) If the radius of the circle representing the water area of Hawaii is 6.5 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).
cm
(b) Show calculations and explain your reasoning.
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