Answer :
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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