All Fermi answers
Fermi #15 · Question 3

How many tennis rackets would it take to cover a tennis court?

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

3QUESTION 3 OF 3

Answer & explanation

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

Answer & explanation

Official answer

1,360

rackets

How to estimate it

Fermi’s official “Napkin math”

A doubles tennis court is about 78 by 36 feet, roughly 2,800 square feet. How much does one racket cover? Maybe 2 square feet. Divide and you land close.

Court area
~2,800 ft²
Racket footprint
~2 ft²
2,800 ÷ 2
≈ 1,400

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

Source calculation & reference
Doubles court area
78 × 36 = 2,808 ft²
Convert to in²
× 144 = 404,352 in²
Racket footprint
≈ 27 × 11 = 297 in²
404,352 ÷ 297
≈ 1,360

Reference cited by Fermi: International Tennis Federation

How close was your guess?

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