A $16-$cm$-$diameter circular loop of wire is placed in a $0\mathrm{.}65-$T magnetic field. $($a$)$ When the plane of the loop is perpendicular to the field lines, what is the magnetic flux through the loop? $($b$)$ The plane of the loop is rotated until it makes a $35$ angle with the field lines. What is the angle$$u in Eq$.2991$a for this situation? $($c$)$ What is the magnetic f lux through the loop at this angle?