Tropical, mild and arctic

How many percents of the Earth's surface lies in the tropical, mild and arctic range? The border between the ranges is the parallel 23°27 'and 66°33'.

Result

p1 =  8.259 %
p2 =  51.946 %
p3 =  39.795 %

Solution:

$S_{ 3 }=S_{ 2 } - S_{ 1 }=153542506.7173 - 21063699.1055 \doteq 132478807.6118 \ \text{km}^2 \ \\ p_{2}=p_{ 2 }=100 \cdot \ \dfrac{ S_{ 3 } }{ S } \doteq 100 \cdot \ \dfrac{ 132478807.6118 }{ 255032235.9549 } \doteq 51.9459 \doteq 51.946 \\%$
$p_{3}=p_{ 3 }=100 - (p_{ 1 }+p_{ 2 })=100 - (8.2592+51.9459)=\dfrac{ 7959 }{ 200 }=39.795=39.795 \\%$

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