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If the chord \mathrm{x \cos \alpha+y \sin \alpha=p} of the hyperbola \mathrm{\frac{x^2}{16}-\frac{y^2}{18}=1} subtends a right angle at the center, and the diameter of the circle, concentric with the hyperbola, to which the given chord is a tangent is d, then the value of \mathrm{d / 4} is __________.

Option: 1

6


Option: 2

4


Option: 3

5


Option: 4

3


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