The state of Ohio covers an area of approximately 116,098 square kilometers. The total water area in Ohio (lakes, rivers, etc.) is about 10,269 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. Water Area Total Area (a) If the radius of the circle representing all of Ohio is 8.5 cm, what should the designer use for the radius of the water circle? Report your answer to the nearest tenth of a centimeter (cm). cm (b) Show calculations and explain your reasoning.

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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The state of Ohio covers an area of approximately 116,098 square kilometers. The total water area in Ohio
(lakes, rivers, etc.) is about 10,269 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.
Water
Area
Total
Area
(a) If the radius of the circle representing all of Ohio is 8.5 cm, what should the designer use for the radius
of the water circle? Report your answer to the nearest tenth of a centimeter (cm).
cm
(b) Show calculations and explain your reasoning.
Transcribed Image Text:The state of Ohio covers an area of approximately 116,098 square kilometers. The total water area in Ohio (lakes, rivers, etc.) is about 10,269 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. Water Area Total Area (a) If the radius of the circle representing all of Ohio is 8.5 cm, what should the designer use for the radius of the water circle? Report your answer to the nearest tenth of a centimeter (cm). cm (b) Show calculations and explain your reasoning.
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