A circular loop of radius $11\mathrm{.}8$ cm is placed in a uniform magnetic field.

$($a$)$ If the field is directed perpendicular to the plane of the loop and the magnetic flux through the loop is $7\mathrm{.}90103$ T $$ m$2,$ what is the strength of the magnetic field?

T

$($b$)$ If the magnetic field is directed parallel to the plane of the loop, what is the magnetic flux through the loop?

T $$ m$2$