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. What is the area and radius of Texas?

Answer 1

Since each population is represented by the area then the area is equal to the population of whatever city. So the are of the Texas circle is 28,240,245 and that rounded of to the nearest tenth is 28,240,250. To find the radius of whatever city you must use the formula for find area of a circle which is A = πr^2, where r is the radius. Make the r the subject of the formula, to do that you divide both sides of the equation by π, this will make the π on the right side cancel out and the final equation will be A/π = r^2, then square root both sides to get rid of the squared exponent on the r then the final equation will be sqr(A/π) = r. So you replace the A with the area or the population of the city want in this case Texas, you will end up with this equation, sqr(28,240,250/π) = r. The radius of the Texas circle is 2998.19 but that rounded to the nearest tenth is 3,000.