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It is 9.1 inches (approx).

L*[sin(x) + sin(2x) + sin(3x) +sin(4x)] = 28 inches where x = 360/10 = 36 degrees.

Since x = 36 deg,

sin(x) = sin(4x) and sin(2x) = sin(3x)

So

L*[2sin(x) + 2sin(2x)] = 28 inches

L*[sin(x) + sin(2x)] = 14 inches

L* 1.539 = 14 approx so that L = 9.098 inches or 9.1 inches, approx.

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Q: How long is each side of a 28 inch regular decagon?

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