If every person in the world were to own an equal share of the earth’s land, how many square miles would each person have? You may assume the earth is a sphere with a radius is 3959 miles and that 20 percent of its surface is land suitable to live on. There are approximately 7.7 billion people on earth as of 2019.

Respuesta :

Given the earth's surface area that is suitable to live on, the area that will be owned by each person on earth is approximately 5.12 × 10⁻³ mi² per person.

How many square miles would each person have?

The earth has a spherical shape. The surface area of a sphere is measured using the equation;

A = 4πr²

Where r is radius and π is constant pi ( π = 3.14 )

Given the data in the question;

  • Radius of earth r = 3959 miles
  • Percentage of earth suitable to live = 20%
  • Number of people on earth = 7.7 billion = 7.7 × 10⁹

First we calculate, the surface area of the earth.

A = 4πr²

A = 4 × 3.14 × ( 3959 mi )²

A = 4 × 3.14 × ( 3959 mi )²

A = 1.97 × 10⁸mi²

Next, we calculate the percentage of the earth surface that is suitable to live on.

20% of surface area

20% of 1.97 × 10⁸mi²

20/100 × 1.97 × 10⁸mi²

3.94 × 10⁷mi²

The percentage of the earth surface that is suitable to live on is 3.94 × 10⁷mi²

Next we divide the suitable surface area by the number of people on earth.

= ( 3.94 × 10⁷mi² ) ÷ ( 7.7 × 10⁹ )

= 5.12 × 10⁻³ mi² per person

Given the earth's surface area that is suitable to live on, the area that will be owned by each person on earth is approximately 5.12 × 10⁻³ mi² per person.

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