Answer: 16,503,616 leagues²
Explanation:
Assume that the Earth is a sphere. Then, you need to use the formula for calculate the surface area of a sphere:
![SA=4\pi r^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/l2t4mp6k4u8o1c0ry6x6z649fg93j8f9lc.png)
Where r is the radius.
Divide the diameter by 2 to calculate the radius of the Earth:
![r=(2,292\ leagues)/(2)\\r=1,146\ leagues](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ay32n55wawcc6msrj15ekfdbb2ayfk36a8.png)
Substituting values into the formula
, you get that the total surface of the Earth to the nearest whole number is:
![SA=4\pi (1,146\ leagues)^2=16,503,616\ leagues^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bzlzw7zbs983p8xnnzn8jjfpa5xpzomm7g.png)