The buttonhole size needed to fit the button is 3cm.
The solution is as follows:
Solve for d when C = 9.42 cm=2πr
d = 2r
r = C/2π = 9.42 / 2π
r =
1.49923956393
d = 2(1.49923956393) =
2.99847912785 or 3cm
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