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That's a fairly easy calculation.
The Sun is 93,000,000 miles away. The formula for the area of a sphere is 4/3*pi*r^2
The cross-sectional area of the Earth is a circle with a radius of about 4,000 miles. The formula for the area of a circle is pi*r^2.
Google can be used as a calculator! The answer is
(pi * (4000^2)) / ((4 / 3) * pi * (93 000 000^2)) = 1.38744364 × 10-9
So, 0.0000001387%.
In technical terms, that's "Not much!"
Comments: Unfortunately, this answer uses the wrong formula for the surface area of a sphere. I calculate the correct answer to be about 0.00000004.5 %.
Also, it doesn't deal with the point about how much energy reaches
the surface of Earth.
Surface area of a sphere is: 4 "pi" (radius)2 .
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∙ 10y ago
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