A circular wire loop of radius $18\mathrm{.}6$ cm carries a current of $2\mathrm{.}87$ A$.$ It is placed so that the normal to its plane makes an angle of $37\mathrm{.}4$ with a uniform magnetic field of magnitude $17\mathrm{.}5$ 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?