What's $\omega_n$ in $\omega_n r^{n-1}$ for area of sphere?
Like what quantity is it?
2026-04-01 06:31:45.1775025105
What's $\omega_n$ in $\omega_n r^{n-1}$ for area of sphere?
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Given your formula, $$ \omega_n=\frac{n\pi^{n/2}}{\Gamma(n/2+1)} $$ a constant which depends only on the dimension of the ball and comes from the formula for the surface area of the n ball with radius $r$ $$ \frac{n\pi^{n/2}}{\Gamma(n/2+1)}r^{n-1} $$