A Flat Circular Loop of Radius $0.10 \mathrm {~m}$ Is Rotating in a Uniform Magnetic Field Of

A flat circular loop of radius $0.10 \mathrm {~m}$ is rotating in a uniform magnetic field of $0.20 \mathrm {~T}$ . Find the magnetic flux through the loop when the plane of the loop and the magnetic field vector are at an angle of $30 ^ { \circ }$ .

A) $0 \mathrm {~T} \cdot \mathrm { m } ^ { 2 }$
B) $6.3 \times 10 ^ { - 3 } \mathrm {~T} \cdot \mathrm { m } ^ { 2 }$
C) $5.5 \times 10 ^ { - 3 } \mathrm {~T} \cdot \mathrm { m } ^ { 2 }$
D) $3.1 \times 10 ^ { - 3 } \mathrm {~T} \cdot \mathrm { m } ^ { 2 }$