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.

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.

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
 

5 cm

step-by-step explanation:

the triangles are similar. therefore the corresponding sides are in proportion:

              cross multiply

            divide both sides by 32