All Fermi answers
Fermi #78 · Question 2

If the Sun were the size of a basketball, how far away would Earth be?

Explore the official answer and the simple reasoning behind this Fermi estimate.

2QUESTION 2 OF 3

Answer & explanation

The official answer, with Fermi’s reasoning step by step.

Answer & explanation

Official answer

84

feet

How to estimate it

Fermi’s official “Napkin math”

Earth sits about 93 million miles from the Sun. How wide is the Sun? About 100 Earths at 8,000 miles each, so 800,000 miles, and a basketball is about 9 inches across.

Earth to Sun
93,000,000 mi
Sun's width
÷ 800,000 mi
Basketballs apart
≈ 115
115 × 9 in
≈ 1,035 in ≈ 86 ft

Rounded assumptions may give a slightly different estimate. The official answer above is the game’s reference value.

Source calculation & reference
Earth to Sun, 1 astronomical unit (IAU)
149,597,871 km
Sun's diameter (NASA, 2 × 695,700 km)
÷ 1,391,400 km ≈ 107.5
NBA ball, 29.5 in around
× 9.39 in across
107.5 × 9.39 in
≈ 1,010 in ≈ 84 ft

Reference cited by Fermi: NASA Sun Fact Sheet · IAU · NBA Official Rules

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