You are planning on using circles to compare the populations of California 37,691,000, Texas 25,675,000, and New York 19,465,000. If the circle for New York will have a 5 cm radius, how large should the radii for Texas and California be? Round to the nearest tenth of cm.

Question

Susie Q

Mathematics

5 June, 02:23

You are planning on using circles to compare the populations of California 37,691,000, Texas 25,675,000, and New York 19,465,000. If the circle for New York will have a 5 cm radius, how large should the radii for Texas and California be? Round to the nearest tenth of cm.

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Answers (1)

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Alivia Hayes · Answer 1

The question above may be answered through the concept of ratio and proportion. The ratio between the population of a certain city and the radius of the circle used should be proportional. Mathematically,

19465000/5 = 37691000/x₁ = 25,675,000/x₂

The values of x₁ and x₂ are 9.7 cm and 6.6 cm, respectively.