Question

Imagine you are planning to use circles to visually compare the populations of California (38,800,000), Texas (28,240,245), and New York (19,807,500). The size of each population will be represented by the area of each circle, not the radius. Round each answer to the nearest tenth.

a. if the circle for New York will have a radius of 6 cm, what would be the size (area) of that circle?

b. what should the area and radius be for the circle representing the population of texas?

area=

radius=

c. what should the area and radius be for the circle representing the population of california?

area=

radius=

Step 1

Area of the circle with radius r is given by:

Given radius for New York is 6cm. So the area is given by plugging the value of r as 6cm

Step 2

Given the radius of New York with population 19,807,500 is represented by radius 6cm

So the length per population is given by:

So the population of Texas, 28,240,245 is represented by Length per Population multiplied by population:

So the area of circle representing Texas is given by:

Step 3

Given the radius of New York with population 19,807,500 is represented by radius 6cm

So the length per population is given by:

So the population of California...

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