A circular wire loop of radius $13\mathrm{.}5$ cm carries a current of $2\mathrm{.}21$ A$.$ It is placed so that the normal to its plane makes an angle of $35\mathrm{.}9$ with a uniform magnetic field of magnitude $15\mathrm{.}3$ T$.($a$)$ Calculate the magnitude of the magnetic dipole moment of the loop in amperes$-$square meters. $($b$)$ What is the magnitude of the torque acting on the loop?