# Can we use magnetic flux formula $BA$ for straight wire/conductor placed in uniform magnetic field

While coming across electromagnetic induction, I learned that for an emf to be induced in a coil of wire there should be a change in magnetic flux which is given by $$\frac{BA\cos\theta}{t}$$ where theta is angle between vector normal to the plane of coil and field lines vector.

But in the case of a single straight wire (not carrying any current) that has a cylindrical shape what should be the vector normal to plane of wire? Can we still apply $$BA\cos\theta$$ for magetic flux? If yes what should be the theta?