Tropics and polar zones

What percentage of the Earth's surface lies in the tropical, temperate, and polar zone?
Individual zones are bordered by tropics 23°27' and polar circles 66°33'.

Correct answer:

p₁ =  39.7949 %
p₂ =  51.9459 %
p₃ =  8.2592 %

Step-by-step explanation:

$p_2=100\cdot {\displaystyle \frac{S_2-S_1}{S_3}}=100\cdot {\displaystyle \frac{3.7828-0.5189}{6.2832}}=51.9459\mathrm{\%}$

$p_3=100\cdot {\displaystyle \frac{S_1}{S_3}}=100\cdot {\displaystyle \frac{0.5189}{6.2832}}=8.2592\mathrm{\%}$

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