Pi square is nearly 10

3 hours ago

Tau day is celebrated on June 28, with τ = 2π, promoting formulas like τr and τr²/2, but π remains dominant.
π² is approximately 10, shown via the Basel problem: Σ 1/n² = π²/6, leading to ζ(2) ≤ 5/3 and π² ≤ 10.
The error between π² and 10 is about 0.125, useful for quick estimates, such as determining circle perimeters or logarithms.
The approximation π² ≈ g (Earth's gravity) is mentioned as another coincidence to be explored later.

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