Question

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.

Answer 1

The circle for New York:
r = 5 cm, Area : A = r² π = 25 π cm²
New York: 19,465,000
California: 37,691,000
Texas: 25,675,000.
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California: 37,691,000 : 19,465,000 = 1.93635 N Y
1.93635 x 25 π = 48.4 π ⇒ r = 6.957 ≈ 7.0 cm
Texas : 25,675,000 : 19,465,000 = 1.319 N Y
1.319 x 25 π = 32.975 π ⇒ r = 5.742 ≈ 5.7 cm